If you own the original cart then you can even do the oft claimed but generally lacking substantiation thing of running a backup on your flash cart and being legit in it.
Going further into "it has sentimental value" territory (normally we do it to recover a save on a dodgy game that won't boot or speak to a save dumper but eh).
Courtesy of
http://www.advanscene.com/ (click advanced search, select GBA and save type) then its list of other GBA games using the Sram v112 - 256 kbit save type. Some might not be too pricey for a cannibalisation session (whether you transplant the ROM chip to the donor or transplant the other chips to yours is up to you). Don't know if any will have been remade as FeRAM* versions and whether that is going to work with a simple solder job if they are, though it would dodge the battery issue in the future if they did.
Code:
# Title (click on title for more details) Region Save Type (Save Size PSP) Size
2788 Battle Network RockMan EXE 3 (v01) Japan Sram v112 - 256 kbit 64 Mbit
2346 Breath of Fire Europe Sram v112 - 256 kbit 32 Mbit
2115 Gyakuten Saiban Japan Sram v112 - 256 kbit 64 Mbit
2085 Monster Jam - Maximum Destruction Europe Sram v112 - 256 kbit 64 Mbit
1577 Power Pro Kun Pocket 1&2 Japan Sram v112 - 256 kbit 64 Mbit
1577 Power Pro Kun Pocket 1&2 Japan Sram v112 - 256 kbit 64 Mbit
1408 Mermaid Melody - Pichi Pichi Picchi Pichi Pichitto Live Start Japan Sram v112 - 256 kbit 256 Mbit
1340 Gyakuten Saiban 3 Japan Sram v112 - 256 kbit 64 Mbit
1310 Gegege no Kitarou - Kikiippatsu! Youkai Rettou Japan Sram v112 - 256 kbit 128 Mbit
1290 Power Pro Kun Pocket 6 Japan Sram v112 - 256 kbit 64 Mbit
1290 Power Pro Kun Pocket 6 Japan Sram v112 - 256 kbit 64 Mbit
1200 Legend of Dynamic - Goushouden - Houkai no Rondo Japan Sram v112 - 256 kbit 64 Mbit
1200 Legend of Dynamic - Goushouden - Houkai no Rondo Japan Sram v112 - 256 kbit 64 Mbit
1197 Oriental Blue - Ao no Tengai Japan Sram v112 - 256 kbit 128 Mbit
1188 Mermaid Melody - Pichi Pichi Pitch Japan Sram v112 - 256 kbit 128 Mbit
1187 MegaMan Battle Network 3 Blue Europe Sram v112 - 256 kbit 64 Mbit
1170 MegaMan Battle Network 3 White Europe Sram v112 - 256 kbit 64 Mbit
1162 Kirby - Nightmare in Dream Land Europe Sram v112 - 256 kbit 128 Mbit
1111 Cyberdrive Zoids - Kijuu no Senshi Hyuu Japan Sram v112 - 256 kbit 64 Mbit
1065 MegaMan Battle Network 3 White USA Sram v112 - 256 kbit 64 Mbit
1063 MegaMan Battle Network 3 Blue USA Sram v112 - 256 kbit 64 Mbit
1054 Mother 1+2 Japan Sram v112 - 256 kbit 128 Mbit
0997 WarioWare, Inc. - Minigame Mania Europe Sram v112 - 256 kbit 64 Mbit
0997 WarioWare, Inc. - Minigame Mania Europe Sram v112 - 256 kbit 64 Mbit
0990 WarioWare, Inc. - Mega Microgames! USA Sram v112 - 256 kbit 64 Mbit
0987 Yu-Gi-Oh! Duel Monsters International Worldwide Edition Japan Sram v112 - 256 kbit 128 Mbit
0987 Yu-Gi-Oh! Duel Monsters International Worldwide Edition Japan Sram v112 - 256 kbit 128 Mbit
0979 Naruto - Ninjutsu Zenkai! Saikyou Ninja Daikesshuu Japan Sram v112 - 256 kbit 64 Mbit
0979 Naruto - Ninjutsu Zenkai! Saikyou Ninja Daikesshuu Japan Sram v112 - 256 kbit 64 Mbit
0973 Bouken Yuuki Pluster World - Pluston GP Japan Sram v112 - 256 kbit 64 Mbit
0973 Bouken Yuuki Pluster World - Pluston GP Japan Sram v112 - 256 kbit 64 Mbit
0968 Hunter X Hunter - Minna Tomodachi Daisakusen!! Japan Sram v112 - 256 kbit 128 Mbit
0960 Fancy Pocket Japan Sram v112 - 256 kbit 32 Mbit
0953 Koukou Juken Advance Series Eijukugo Hen - 650 Phrases Shuuroku Japan Sram v112 - 256 kbit 64 Mbit
0945 Sengoku Kakumei Gaiden Japan Sram v112 - 256 kbit 64 Mbit
0940 Yu-Gi-Oh! Worldwide Edition - Stairway to the Destined Duel Europe Sram v112 - 256 kbit 128 Mbit
0940 Yu-Gi-Oh! Worldwide Edition - Stairway to the Destined Duel Europe Sram v112 - 256 kbit 128 Mbit
0920 Shin Megami Tensei Japan Sram v112 - 256 kbit 64 Mbit
0916 Inukko Club Japan Sram v112 - 256 kbit 64 Mbit
0906 One Piece - Mezase! King of Berries Japan Sram v112 - 256 kbit 64 Mbit
0896 Made in Wario Japan Sram v112 - 256 kbit 64 Mbit
0896 Made in Wario Japan Sram v112 - 256 kbit 64 Mbit
0884 Koukou Juken Advance Series Eitango Hen - 2000 Words Shuuroku Japan Sram v112 - 256 kbit 64 Mbit
0864 Metroid Fusion Japan Sram v112 - 256 kbit 64 Mbit
0852 Battle Network RockMan EXE 3 Black Japan Sram v112 - 256 kbit 64 Mbit
0847 Inuyasha - Naraku no Wana! Mayoi no Mori no Shoutaijou Japan Sram v112 - 256 kbit 64 Mbit
0844 Power Pro Kun Pocket 5 Japan Sram v112 - 256 kbit 64 Mbit
0834 Kururin Paradise Japan Sram v112 - 256 kbit 64 Mbit
0826 Bakuten Shoot Beyblade 2002 - Team Battle!! Takao Hen Japan Sram v112 - 256 kbit 64 Mbit
0825 Bakuten Shoot Beyblade 2002 - Team Battle!! Daichi Hen Japan Sram v112 - 256 kbit 64 Mbit
0823 Tennis no Ouji-sama - Aim at the Victory! Japan Sram v112 - 256 kbit 128 Mbit
0822 Boboboubo Boubobo - Ougi 87.5 Bakuretsu Hanage Shinken Japan Sram v112 - 256 kbit 64 Mbit
0811 Chocobo Land - A Game of Dice Japan Sram v112 - 256 kbit 64 Mbit
0811 Chocobo Land - Game de Dice Japan Sram v112 - 256 kbit 64 Mbit
0789 Monster Maker 4 - Killer Dice Japan Sram v112 - 256 kbit 64 Mbit
0788 Monster Maker 4 - Flash Card Japan Sram v112 - 256 kbit 64 Mbit
0785 Shaman King Card Game - Chou Senjiryakketsu 3 Japan Sram v112 - 256 kbit 128 Mbit
0774 Battle Network RockMan EXE 3 Japan Sram v112 - 256 kbit 64 Mbit
0762 Kirby - Nightmare in Dream Land USA Sram v112 - 256 kbit 64 Mbit
0762 Kirby - Nightmare in Dream Land USA Sram v112 - 256 kbit 64 Mbit
0747 L'Aigle de Guerre France Sram v112 - 256 kbit 64 Mbit
0745 Metroid Fusion Europe Sram v112 - 256 kbit 64 Mbit
0733 Hamster Club 3 Japan Sram v112 - 256 kbit 64 Mbit
0728 Shin Nippon Pro Wrestling Toukon Retsuden Advance Japan Sram v112 - 256 kbit 64 Mbit
0722 One Piece - Nanatsu Shima no Daihihou Japan Sram v112 - 256 kbit 64 Mbit
0718 Dan Doh!! Xi Japan Sram v112 - 256 kbit 64 Mbit
0718 Dan Doh!! Xi Japan Sram v112 - 256 kbit 64 Mbit
0686 Silk to Cotton Japan Sram v112 - 256 kbit 64 Mbit
0679 MegaMan Battle Network 2 Europe Sram v112 - 256 kbit 64 Mbit
0676 Metroid Fusion USA Sram v112 - 256 kbit 64 Mbit
0674 Bomberman Jetters Japan Sram v112 - 256 kbit 64 Mbit
0674 Bomberman Jetters Japan Sram v112 - 256 kbit 64 Mbit
0668 Hoshi no Kirby - Yume no Izumi Deluxe Japan Sram v112 - 256 kbit 64 Mbit
0668 Hoshi no Kirby - Yume no Izumi Deluxe Japan Sram v112 - 256 kbit 64 Mbit
0660 Gyakuten Saiban 2 Japan Sram v112 - 256 kbit 64 Mbit
0656 Yu-Gi-Oh! The Eternal Duelist Soul USA Sram v112 - 256 kbit 64 Mbit
0656 Yu-Gi-Oh! The Eternal Duelist Soul USA Sram v112 - 256 kbit 64 Mbit
0636 Harobots - Robo Hero Battling!! Japan Sram v112 - 256 kbit 32 Mbit
0621 Hime Kishi Monogatari - Princess Blue Japan Sram v112 - 256 kbit 64 Mbit
0606 Groove Adventure Rave - Hikari to Yami no Daikessen 2 Japan Sram v112 - 256 kbit 64 Mbit
0606 Groove Adventure Rave - Hikari to Yami no Daikessen 2 Japan Sram v112 - 256 kbit 64 Mbit
0575 MegaMan Zero USA Sram v112 - 256 kbit 64 Mbit
0566 Densetsu no Stafi Japan Sram v112 - 256 kbit 64 Mbit
0566 Densetsu no Stafi Japan Sram v112 - 256 kbit 64 Mbit
0563 J.League Pro Soccer Club wo Tsukurou! Advance Japan Sram v112 - 256 kbit 64 Mbit
0552 Sakura Momoko no UkiUki Carnival Japan Sram v112 - 256 kbit 64 Mbit
0545 Mutsu - Water Looper Mutsu Japan Sram v112 - 256 kbit 32 Mbit
0543 Pro Yakyuu Team wo Tsukurou! Advance Japan Sram v112 - 256 kbit 64 Mbit
0538 Minimoni - Mika no Happy Morning Chatty Japan Sram v112 - 256 kbit 64 Mbit
0530 Combat Choro Q - Advance Daisakusen Japan Sram v112 - 256 kbit 32 Mbit
0509 Kurohige no Kurutto Jintori Japan Sram v112 - 256 kbit 32 Mbit
0499 Shaman King Card Game - Chou Senjiryakketsu 2 Japan Sram v112 - 256 kbit 64 Mbit
0498 Breath of Fire II Europe Sram v112 - 256 kbit 32 Mbit
0483 Bakuten Shoot Beyblade 2002 - Ikuze! Bakutou! Chou Jiryoku Battle!! Japan Sram v112 - 256 kbit 64 Mbit
0458 MegaMan Battle Network 2 USA Sram v112 - 256 kbit 64 Mbit
0458 MegaMan Battle Network 2 USA Sram v112 - 256 kbit 64 Mbit
0425 Jinsei Game Advance Japan Sram v112 - 256 kbit 64 Mbit
0425 Jinsei Game Advance Japan Sram v112 - 256 kbit 32 Mbit
0419 Kami no Kijutsu - Illusion of the Evil Eyes Japan Sram v112 - 256 kbit 64 Mbit
0416 Formation Soccer 2002 Japan Sram v112 - 256 kbit 64 Mbit
0416 Formation Soccer 2002 Japan Sram v112 - 256 kbit 32 Mbit
0414 All-Star Baseball 2003 USA Sram v112 - 256 kbit 32 Mbit
0409 Kurohige no Golf Shiyouyo Japan Sram v112 - 256 kbit 64 Mbit
0403 Penny Racers Europe Sram v112 - 256 kbit 32 Mbit
0402 Initial D - Another Stage Japan Sram v112 - 256 kbit 64 Mbit
0398 RockMan Zero Japan Sram v112 - 256 kbit 64 Mbit
0398 RockMan Zero Japan Sram v112 - 256 kbit 64 Mbit
0397 Blender Bros. USA Sram v112 - 256 kbit 64 Mbit
0397 Blender Bros. USA Sram v112 - 256 kbit 64 Mbit
0391 Breath of Fire II USA Sram v112 - 256 kbit 32 Mbit
0391 Breath of Fire II USA Sram v112 - 256 kbit 32 Mbit
0389 Lunar Legend Japan Sram v112 - 256 kbit 64 Mbit
0389 Lunar Legend Japan Sram v112 - 256 kbit 64 Mbit
0387 Koukou Juken Advance Series Eigo Koubun Hen - 26 Units Shuuroku Japan Sram v112 - 256 kbit 64 Mbit
0376 Isseki Hattyou - Kore 1ppon de 8syurui! Japan Sram v112 - 256 kbit 32 Mbit
0376 Isseki Hattyou - Kore 1ppon de 8syurui! Japan Sram v112 - 256 kbit 32 Mbit
0373 Monster Jam - Maximum Destruction USA Sram v112 - 256 kbit 64 Mbit
0371 Scrabble Europe Sram v112 - 256 kbit 64 Mbit
0360 Saibara Rieko no Dendou Mahjong Japan Sram v112 - 256 kbit 32 Mbit
0360 Saibara Rieko no Dendou Mahjong Japan Sram v112 - 256 kbit 32 Mbit
0352 Groove Adventure Rave - Hikari to Yami no Daikessen Japan Sram v112 - 256 kbit 64 Mbit
0346 Power Pro Kun Pocket 4 Japan Sram v112 - 256 kbit 64 Mbit
0322 Domo-kun no Fushigi Terebi Japan Sram v112 - 256 kbit 64 Mbit
0319 Black Black - Bura Bura Japan Sram v112 - 256 kbit 64 Mbit
0312 J.League Pocket 2 Japan Sram v112 - 256 kbit 64 Mbit
0308 Bomberman Max 2 - Bomberman Version Japan Sram v112 - 256 kbit 128 Mbit
0308 Bomberman Max 2 - Bomberman Version Japan Sram v112 - 256 kbit 64 Mbit
0300 Captain Tsubasa - Eikou no Kiseki Japan Sram v112 - 256 kbit 64 Mbit
0285 Okumanchouja Game - Nottori Daisakusen! Japan Sram v112 - 256 kbit 32 Mbit
0282 Guranbo Japan Sram v112 - 256 kbit 64 Mbit
0255 Yu-Gi-Oh! Duel Monsters 6 Expert 2 Japan Sram v112 - 256 kbit 128 Mbit
0253 Recca no Honoo - The Game Japan Sram v112 - 256 kbit 64 Mbit
0253 Recca no Honoo - The Game Japan Sram v112 - 256 kbit 64 Mbit
0250 Breath of Fire II - Shimei no Ko Japan Sram v112 - 256 kbit 32 Mbit
0250 Breath of Fire II - Shimei no Ko Japan Sram v112 - 256 kbit 32 Mbit
0247 Bakuten Shoot Beyblade - Gekitou! Saikyou Blader Japan Sram v112 - 256 kbit 64 Mbit
0247 Bakuten Shoot Beyblade - Gekitou! Saikyou Blader Japan Sram v112 - 256 kbit 32 Mbit
0246 Kinniku Banzuke - Kimero! Kiseki no Kanzen Seiha Japan Sram v112 - 256 kbit 64 Mbit
0243 MegaMan Battle Network Europe Sram v112 - 256 kbit 64 Mbit
0239 Breath of Fire USA Sram v112 - 256 kbit 32 Mbit
0239 Breath of Fire USA Sram v112 - 256 kbit 32 Mbit
0238 Battle Network RockMan EXE 2 Japan Sram v112 - 256 kbit 64 Mbit
0228 Advance Rally Japan Sram v112 - 256 kbit 64 Mbit
0201 ESPN Great Outdoor Games - Bass 2002 USA Sram v112 - 256 kbit 64 Mbit
0201 ESPN Great Outdoor Games - Bass 2002 USA Sram v112 - 256 kbit 64 Mbit
0193 Adventure of Tokyo Disney Sea Japan Sram v112 - 256 kbit 32 Mbit
0178 Tweety and the Magic Gems USA Sram v112 - 256 kbit 32 Mbit
0167 Wario Land 4 USA Sram v112 - 256 kbit 64 Mbit
0167 Wario Land 4 USA Sram v112 - 256 kbit 64 Mbit
0164 Gadget Racers USA Sram v112 - 256 kbit 32 Mbit
0163 MegaMan Battle Network USA Sram v112 - 256 kbit 64 Mbit
0151 LEGO Bionicle Europe Sram v112 - 256 kbit 64 Mbit
0148 Nakayoshi Mahjong - Kaburiichi Japan Sram v112 - 256 kbit 32 Mbit
0141 LEGO Island 2 - The Brickster's Revenge Europe Sram v112 - 256 kbit 64 Mbit
0140 Gyakuten Saiban Japan Sram v112 - 256 kbit 64 Mbit
0140 Gyakuten Saiban Japan Sram v112 - 256 kbit 64 Mbit
0137 Sports Illustrated for Kids - Football USA Sram v112 - 256 kbit 32 Mbit
0133 Sports Illustrated for Kids - Baseball USA Sram v112 - 256 kbit 32 Mbit
0130 LEGO Island 2 - The Brickster's Revenge USA Sram v112 - 256 kbit 64 Mbit
0130 LEGO Island 2 - The Brickster's Revenge USA Sram v112 - 256 kbit 64 Mbit
0129 LEGO Bionicle USA Sram v112 - 256 kbit 64 Mbit
0118 Morita Shougi Advance Japan Sram v112 - 256 kbit 32 Mbit
0116 Field of Nine - Digital Edition 2001 Japan Sram v112 - 256 kbit 64 Mbit
0090 Tweety and the Magic Gems Germany Sram v112 - 256 kbit 32 Mbit
0089 Wario Land Advance Japan Sram v112 - 256 kbit 64 Mbit
0086 Kiwame Mahjong Deluxe - Mirai Senshi 21 Japan Sram v112 - 256 kbit 64 Mbit
0080 Minna no Shiiku Series 2 - Boku no Kuwagata Japan Sram v112 - 256 kbit 32 Mbit
0073 Kinniku Banzuke - Kongou-kun no Daibouken! Japan Sram v112 - 256 kbit 64 Mbit
0066 Minna no Shiiku Series 1 - Boku no Kabuto Mushi Japan Sram v112 - 256 kbit 32 Mbit
0065 EX Monopoly Japan Sram v112 - 256 kbit 32 Mbit
0064 Titi et les Bijoux Magiques France Sram v112 - 256 kbit 32 Mbit
0062 Mahjong Police Japan Sram v112 - 256 kbit 32 Mbit
0060 Yu-Gi-Oh! Duel Monsters 5 Expert 1 Japan Sram v112 - 256 kbit 64 Mbit
0059 Breath of Fire - Ryuu no Senshi Japan Sram v112 - 256 kbit 32 Mbit
0057 Bomberman Tournament USA Sram v112 - 256 kbit 32 Mbit
0055 Toyrobo Force Japan Sram v112 - 256 kbit 64 Mbit
0055 Toyrobo Force Japan Sram v112 - 256 kbit 32 Mbit
0054 Choro Q Advance Japan Sram v112 - 256 kbit 32 Mbit
0053 Narikiri Jockey Game - Yuushun Rhapsody Japan Sram v112 - 256 kbit 64 Mbit
0051 Tweety and the Magic Gems Europe Sram v112 - 256 kbit 32 Mbit
*mentioned it above but for the sake of someone landing here on a search. Early GBA games sometimes used SRAM (as opposed to none/password, EEPROM or Flash) which like most RAM needs a battery to keep data there. Later on then FeRAM that does not need constant power but uses much the same protocols appeared at what I guess was an acceptable price for them (be it in general, for warranty or for ease of manufacture now they can pick and place it all rather than having to pay for and solder on a battery) and SRAM games moved to that. Indeed many games have a reprint that might be using FeRAM but original had battery backed. To my knowledge none had different ROM images for the "new" save handling but I don't know what goes as far as intermediate chips that might change levels or something.