Recommended games to play on low-end PC

Faster Than Light(FTL)
Witcher I (was given away for free on GOG)
Gothic I, II
Two Worlds (was given away for free).

Look no further:

Thief Gold
Thief II: The Metal Age
Thief: Deadly Shadows

Roller Coaster Tycoon (original)

Suggestions from my library, most of which are inexpensive or free; should run fine:

• Beat Hazard
• Space Pirates and Zombies (and Bounty Hunters!)
• 0RBITALIS
• Balloon Popping Pigs
• Waveform
• Where's My What?
• Shmadow
• The Dream Machine
• Freebie
• Bejewelled (any)
• Ellipsis
• Nuclear Throne
• IVAN (free from attnam.com)
• Endless Sky
• Peggle series
• Wizorb
• klocki
• FTL: Faster Than Lilght
• Spaceman Sparkles 2
• Dynetzzle Extended
• DOOM / DOOM II / Heretic
• Duke Nukem 3D
• Yosumin!
• Quell series
• Unepic
• Fine Sweeper
• Magma Chamber
• Trap Them
• Zombie Driver
• Fortix series
• Clickr
• Galcon (series)
• STAR WARS Knights of the Old Republic
• Shadow Warrior Classic (free on Steam)
• Armagetron Advanced (free to download, open source, like TRON in 3D)
• The Ur-Quan Masters (free to download, open-sourced by devs, one of the best games of all time AKA Star Control 2+xtras)
• Teen Agent
• Ultima IV
• Hexcells (any)
• Cross Set
• Three Digits
• Nethack
• Balls of Steel
• Alien Carnage / Halloween Harry
• Terraria
• Transcripted
• Straimium Immortaly
• Duke Nukem 1 / 2
• Collisions
• Lucid
• KNIGHTS
• Terra Nova: Strike Force Centauri
• Wing Commander I / II / III / IV
• Mysterious Space
• The Prism
• The Sun and Moon
• Scott in Space
• System Shock 1 / 2
• Neverending Nightmares
• Lumo
• Lumino City
• Gravity Ghost
• Letter Quest: Grimm's Journey
• oO
• Scoregasm
• TriBlaster
• Spy Chameleon - RGB Agent
• Chip's Challenge 1 / 2
• Unreal
• Geometry Wars: Retro Evolved
• Pretentious Game
• Zombie Solitaire
• Postmortem: one must die
• Arcadia
• Alien Zombie Megadeath
• BIT.TRIP BEAT
• BIT.TRIP CORE
• BIT.TRIP FATE
• BIT.TRIP FLUX
• BIT.TRIP RUNNER
• BIT.TRIP VOID
• GAUGE
• Cluck Yegger in Escape From the Planet of the Poultroid
• Osmos
• Chains
• Papers, Please
• Stargunner (and any of the Apogee/3D Realms games)
• Reversion (any)
• SpaceChem
• A.R.E.S.
• Tom Clancy's Splinter Cell
• Deus Ex: Invisible War
• Glowfish
• Trino
• Lightfish
• Saira
• BEEP
• Realm of the Mad God
• Inside a Star-filled Sky
• Jolly Rover
• Vertex Dispenser
• Depths of Peril
• Eets
• Hacker Evolution (series)
• Psychonauts
• Superbrothers: Sword & Sworcery EP
• To the Moon
• Puzzle Agent (series)
• Costume Quest
• Serious Sam classics
• Back to the Future Episodes 1-5 (telltale games)
• Puzzler World series
• A Virus Named TOM
• Pid
• Solar 2
• Dead Pixels
• Home
• Flotilla
• Storm in a Teacup
• Dynamite Jack
• Jamestown
• English Country Tune
• Sugar Cube: Bittersweet Factory
• Hinterland
• Waking Mars
• Offspring Fling!
• Vessel
• Adventures of Shuggy
• Lone Survivor
• Hamlet or the last game without MMORPG features, shaders and product placement
• Dustforce
• Runespell: Overture
• Eversion
• Gateways
• Puzzle Bots
• Audiosurf
• Greed: Black Border
• The Tiny Bang Story
• Puzzle Kingdoms
• Universe Sandbox
• Magnetis
• Hotline Miami
• Critter Crunch
• Aquaria
• Tiny and Big: Grandpa's Leftovers
• Space Ark
• 1000 Amps
• Nimbus
• Toki Tori
• Puzzle Quest 1 / 2
• Luxor (series)
• You Don't Know Jack series
• Gunman Clive
• Reaxxion
• AaaaaAAaaaAAAaaAAAAaAAAA!!!
• Dungeons of Dredmor
• Zombie Bowl-O-Rama
• Faerie Solitaire
• Humanity Asset
• Kairo
• Thomas Was Alone
• Splice
• Proteus
• Stealth Bastard
• Hero Academy
• Chime
• MacGuffin's Curse
• Steam Marines
• Unreal Tournament (classic) or UT2k4
• Colour Bind
• Incredipede
• Bad Hotel
• Portal
• Teleglitch: Die More Edition
• Waves
• Atom Zombie Smasher
• Super Meat Boy
• Droplitz
• METAL SLUG 3
• Ichi
• Tank Universal
• Volt
• Unstoppable Gorg
• Starseed Pilgrim
• Lunnye Devitsy
• Auditorium
• Sentinel
• DLC Quest
• Chucks Challenge 3D
• Fractal: Make Blooms Not War
• Solar Flux
• Trine
• Legend of Dungeon
• Escape Goat
• LIMBO
• Everyday Genius: SquareLogic
• Critical Mass
• Underrail
• Zafehouse: Diaries
• Micron
• Cognition: An Erica Reed Thriller
• Corporate Lifestyle Simulator
• Luftrausers
• 140
• LOVE
• Weird Worlds: Return to Infinite Space
• LYNE
• Deep Under the Sky
• Lovely Planet
• Ionball 2 : Ionstorm
• Risk of Rain
• KAMI
• Fearless Fantasy
• Constant C
• Super House of Dead Ninjas
• Pulstar
• PING 1.5+
• Spooky Cats
• Pivvot
• MechaNika
• Divekick
• Talisman: Digital Edition
• Escape from Puzzlegate
• Her Story
• Broken Sword series
• Z
• Eufloria / Eufloria HD
• Captain Morgane and the Golden Turtle
• Guacamelee!
• Sol Survivor
• Capsized
• Syberia 1 / 2
• Serious Sam Double D XXL
• Velvet Assassin
• Children of the Nile
• Avadon: The Black Fortress
• Avernum I-VIII
• Geneforge series
• Gratuitous Space Battles
• Half-Life Deathmatch: Source
• Gish
• TRAUMA
• Time Gentlemen, Please! / Ben There, Dan That!
• Cogs
• The Blackwell Legacy / Blackwell Unbound / Blackwell convergence / Blackwell deception
• Magdalena
• Diehard Dungeon
• HyperRogue
• DODGE
• Tidalis

Shrouded in Sanity
http://store.steampowered.com/app/444590/

Souls-Game for low-end... :)

Baldurs Gate
Baldurs Gate 2
Icewind Dale
Football Manager ;)
Steins;Gate, Danganronpa 1&2, Nonary Games.

Everything else already suggested, Binding of Isaac gets a massive +1 thumbs up from me.

Braid

Undertale

VVVVVV

Super Hexagon

Axiom Verge

FTL

Heroes 3 !

HOG games do not need specs
grim legends
enigmatis
nightmare from the deep series, for beginners

Zork because it's now on Steam. And it pretty much has the lowest system requirements you'll find in any game.

Oh, also "The Final Station"!

View attached image.

If you liked 2064: ROM, I recommend VA-11 Hall-A: Cyberpunk Bartender Action. If you don't mind these kind of games, any visual novel will do, like Clannad or Grisaia no Kajitsu, since they don't ask for high end PCs. If you like JRPGs like Trails in the Sky, play Disgaea, and the Agarest games. If you want some old but great RPGs, Fallout 1/2/Tactics, older Elder Scrolls, Dungeon Siege1/2, Icewind Dale and Planescape: Torment.

Rayman Legends, South Park : Stick of Truth and tons of point & click quests)

Path of Exile, very Diablo 'like' game.

Beyond Good and Evil
Fable - The Lost Chapters
Fallout
Fallout 2
Papers, Please
Spore
Terraria
VVVVVV

Just a few games that came to mind.

I played Warband and darksiders with the same integrated graphic card.

Any 2D games, essentially.
Anything made before 2003 should be absolutely fine as well. Maybe even up to 2007 or so.

I expect Quake Live would run just fine

Killing Floor FTW! It has to work on low resolutions with lowest graphical settings.

Mine's the 3000. I know your pain.

The best games to get are classics, stuff with really good reviews that are old enough to run well. Some of my favorites are:

Deus Ex
Fallout
Bioshock (the remastered ones and infinite work pretty well when I lowered the graphics)
System Shock
Warband
Balder's gate
Half Life

I also like grand strategy games, because most of the player action happens when the game is paused so you won't lose if lag happens.. Games with turned based combat work well under this too.

Lots of nice recommendations here. I made a similar post some time ago with my own recommendations and plenty of feedback from the nice people of SG. Hope you find something there:

https://www.steamgifts.com/discussion/TpRDr/modern-games-that-run-on-a-potato-machine

Undertale, Hotline Miami Series. Also, because you have tested/played 2064 : ROM, i suggest you to try Va-11 Hall-a Cyberpunk Bartender Action..