Here is the official single player list of games in this compilation:
SPACE:
Astrosmash
Space Armada
Space Battle
Space Hawk
Space Spartans
Star Strike
ARCADE:
Brickout (unreleased)
Buzz Bombers
Frog Bog
Hover Force
Night Stalker
Pinball
Shark Shark
Snafu
Thin Ice
Thunder Castle
Vectron
BATTLE & SIM:
B-17 Bomber
Bomb Squad
Crown of Kings (AD&D)
Minotaur (Treasure of Tarmin)
Sub Hunt
Tower of Doom
SPORTS:
Bowling
Chip Shot
Super Pro Decathlon
Deep Pockets (unreleased)
Motocross
Super Pro Skiing
Skiing
Slam Dunk
Super Pro Hockey
Super Pro Volleyball
Super Pro Football
Stadium Mud Buggies
World Championship Baseball
Body Slam Wrestling
STRATEGY:
Checkers
Poker & Blackjack
Reversi
Roulette
Royal Dealer
OK....when you enter 2-player mode with another DS, more games do show up as selectable. Many were 2-player-only games and therefore were useless to show in single player mode.
The 2-player games that are selectable to play when using 2 DS's in local WiFi mode:
ARCADE:
Blowout (unreleased)
Frog Bog
Hard Hat (unreleased)
Sharp Shot
Shark Shark
Snafu
Space Cadet (unreleased)
Thunder Castle
Triple Action
BATTLE & SIM:
Armor Battle
Sea Battle
SPORTS:
Auto Racing
Boxing
Chip Shot
Baseball
Basketball
Football
Hockey
Deep Pockets (unreleased)
Motocross
Slam Dunk
Slap Shot
Spiker Super Pro Volleyball
Super Pro Football
Stadium Mud Buggies
World Championship Baseball
Body Slam Wrestling
STRATEGY:
Checkers
Learning Fun I
Learning Fun II
Poker & Blackjack
Reversi
Roulette
Takeover (unreleased)
Utopia
You'll notice that many dupes between multi and single player mode, I'm too lazy to separate them and determine the exact game count.