Please recommend some old games for my integrated graphic card.

Solitaire

 

Pinball, minswepper, rollacoaster tycoon, minecraft, undertale, half life 1, doom 1+2, quake 1+2, bioshock 1, the elder scrolls IV, and if you like Sims 1+2
All of these games should run fine on an integrated

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As well as various Emulators.
An integrated card can emulate nicely any Nintendo Home Console up to the Nintendo 64(including it), every Nintendo Handheld up to the DS(barely running it) , and the Playstation 1

 

Psychonauts (3d platformer)
And if you like puzzle games grim fandango, The secret of monkey island, ik monkey island can be played through scummVM, not too sure about grim fandango though.
Tim Schaefer?
Never heard of him.

 

There's some great indie games out there that will run on a potato as well. Games like Bastion, Freedom Planet, Shovel Knight, Torchlight, Cave Story Plus, and etc. don't require much to run. Granted, if you don't like sidescrollers, you will have more limited options.

 

Battle for Wesnoth, Cave Story, Pocket Tanks.
The latter 2 ran well on a Windows 2000 laptop, so you should have zero issues with those.

 

The Terrible Whiteness of Applachian Nights. It's a low-end horror game, and holy crap it's crazy.

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Also gonna recommend the RPG "OFF". It's made in RPG Maker 2003, so it'll work perfectly well.

 

Septerra Core: Legacy of the Creators (why would nobody even mention this?)
Stardew Valley
Ys Series
Celestian Tales: Old North (proud to be Indonesian)
All are available on GoG.
if you would give more detail about your CPU, we can recommend some other games.

 

There is a lot of great games. To be honest, i don't even play on my pc games newer than 2005/6 (with some exceptions). I don't know what type of games do you like, so here's my list (not alphabetical or something, i'll just write while thinking).

- Carmageddon 1 and 2, great combat racing games,
- Rally Trophy, fantastic old racing game,
- Soldier of Fortune 1 (and maybe 2), solid, but a little bit brutal fps,
- Arcanum, amazing rpg,
- Jagged Alliance 2, tactical strategy mixed with rpg, one of my favourite games of all time,
- Commandos 1/2, mission-based rts
- Desperados - Wanted Dead or Alive, just like Commandos on Wild West. Absolutely amazing game,
- Capitalism 2, economic strategy,
-Tropico 1, as above,
- Giants - Citizen Kabuto, action game with great humour,
- Max Payne 1 - legendary action game,
- Serious Sam First Encounter - freaky but great fps,
- Tomb Raider 2-4, everyone knows it but hey, they are great games!
- Need for Speed Porsche Unleashed, one of the best NFS games,
- Gorky 17, polish post-apo rpg, fantastic game,
- Gangsters: Organized Crime, old but good strategy game with "Godfather" sense,
- Hexen 2 - really oldschool, but great fps,
- Shogun Total War - stunning rts,
- Homeworld - as above, but in space,
- Fallout 1/2/Tactics, post-apo rpg (Tactics is more like mission-based tactical strategy),
- Anno 1602/1503 - economic/rts/creating a new world,
- Puzzle Quest - mix of rpg and puzzle game,
- Warcraft 3, Metal Fatigue, Total Annihilation - all of them are absolutely fantastic rts games,
- Space Rangers 1/2, maybe they will work, because i played them on my low-specs laptop some time ago,
- Port Royale, something like Anno mixed with Pirates,
- Star Wars Jedi Outcast - for me it's the best game of Star Wars,
- Planescape: Torment, best crpg in history,
- Medal of Honor: Allied Assault, another great fps,

If you like oldschool games with crappy graphics, you should try UFO: Enemy Unknown, there is a free port called OpenXcom. It's just like original but works with new operating systems.

So here you go. Maybe i forgot of something, but i loved all of these games.

 

Doom, Doom 2 and mods for Doom. I'd recommend Gzdoom with freelook for mods.

 

Age of Empires 1, 2, maybe 3.
Age of Mythology.
Warcraft 3.
Portal 1.
Little Big Adventure 2. <-- AMAZING GAME!!
Monkey Island series, the 3 is perfect.

 

Seeing nobody mentioning vampire masquarade, so i will. And i stand with the comment above. Relentless ( little big adventure ) Or lba1 and lba2 for shorts. One of the best games ever made and still holds up to this day.

 

Doom.

 

I got a Windows 10 64bit Laptop with Intel Pentium 2020M with 4gb of ram and Intel HD graphics. it can run Doom 3 BFG with HD mod very well at 720p at 60fps. you can play anything thats in the early 2005 but you can play modern games aswell like HD remasters of old games but thats only if not much has been done with the engine.
example
Resident evil 4 Ultimate HD wont run at all unless you lower the res and turn everything off but it still chugs along.
Resident evil 4 from way back with HD mod runs at full speed at 720p.

so just stick to old games and remasters of old games if you're lucky. Emulators will run fine unless you plan on doing PS2 and above. Desmume will run fine with shaders but you wont get good results when you use the upres feature lol.

 

Your computer should be able to handle The Sims 1-4, Spore, etc. A similar setup used to be my main computer.

 

Portal, call of duty or try emulating GBA and play games like Pokemon, castlevania, metroid, zelda, Mario RPG...

 

On an emulator standpoint, I'd recommend you look into GBA and SNES emulation. TONS of great classics to play, and they don't require much to run at full speed (read: your PC can handle it).