As an exercise, I tried to remember every video game I had ever played. It is certain to be incomplete at this stage and does not include a lot of stuff from the 8-bit era that made little to no lasting impression on me. Also, dates may sometimes be when I found the game, not the year of release.
1978 - Space Invaders (Arcade)
1978 - Telstar Marksman (pong-based home system)
1979 - Lunar Lander (Arcade, at Silver Dollar City and Fair)
1979 - Hangman (Commodore PET Basic at Atomic Museum)
1980 - Combat (Atari VCS)
1980 - Asteroids (Arcade)
1980 - Warlords (Arcade)
1980 - Missile Command (Arcade)
1980 - Battlezone (Arcade)
1981 - Various games typed in BASIC
1981 - SCRAM - (Atari Home Computer)
1981 - Star Raiders (Atari Home Computer)
1981 - Temple of Apshai (Atari Home Computer)
1981 - Venture (Arcade)
1981 - Space Dual (Arcade)
1981 - Gorf (Arcade)
1981 - Defender (Arcade)
1981 - Centipede (Arcade)
1981 - Adventure (Atari VCS)
1981 - Warlords (Atari VCS)
1982 - 1982 World's Fair Arcade and Displays
1982 - Eastern Front (Atari Home Computer)
1982 - Tac Scan (Arcade)
1983 - In the Hall of Mountain King - (Vic 20)
1983 - Archon (Atari Home Computer)
1983 - Star Wars (Arcade)
1983 - Star Trek (Arcade)
1983 - Blue Max (Atari Home Computer)
1984 - Raid on Bungling Bay (Commodore 64)
1984 - Ballblaster (Ballblazer)
1984 - Behind Jaggi Lines (Rescue on Fractalus)
1984 - The Hitchhiker's Guide to the Galaxy (Atari Home Computer)
1985 - F-15 Strike Eagle (Atari Home Computer)
1985 - Gauntlet (Arcade)
1986 - Odyssey II Master Strategy Games
1986 - Conquest of the World (Odyssey II)
1986 - Great Wall Street Fortune Hunt (Odyssey II)
1986 - Quest for the Rings (Odyssey II)
1986 - Various games played via BBS
1987 - Trade Wars (BBS - first online game)
1989 - Various games from Educorp CD-ROM on Mac SE-30
1989 - Dungeon of Doom (Mac)
1990 - Guns vs. Butter (Mac)
1990 - Strategic Conquest (Mac)
1990 - Tesserae (Mac)
1990 - Sim City (DOS)
1990 - Battletech Cresent Hawk's Inception (DOS)
1990 - Sim Earth (Mac)
1990 - Civilization (Various systems... NEARLY EVERY VERSION)
1990 - Spaceward Ho! (Mac)
1990 - Loom (Mac)
1991 - SimAnt (Mac)
1991 - Star Control (Genesis)
1992 - Seven Cities of Gold (Atari Home Computer)
1993 - Master of Orion II (Mac)
1993 - Dune II (Genesis)
1993 - Outland (Casual online mac gaming)
1994 - Bolo (Mac, First MAJOR networked game for me)
1994 - Marathon (First major LAN party game for me)
1996 - Wing Commander III (3DO)
1996 - Foes of Ali (3DO)
1996 - Master of Orion II (Mac)
1997 - Escape Velocity (Mac)
1999 - Starcraft (Mac)
2000 - Diablo II (Mac)
2000 - EV Override (Mac)
2001 - Imperialism II (Mac)
2001 - Final Fantasy VII (Playstation)
2001 - Nectaris (Playstation)
2002 - Freedom Force (Mac)
2002 - Gameboy Advance Wars (GBA)
2002 - Draconus: Cult of the Wyrm (Dreamcast)
2002 - Armada (Dreamcast)
2003 - Solace (Mac)
2004 - Star Wars Battlefront (Xbox)
2004 - Fable (Xbox)
2005 - Mercenaries (Xbox)
2005 - Star Wars Battlefront II (Xbox)
2005 - Battle for Wesnoth (Linux)
2006 - Axis and Allies (PC both editions to date, not RTS)
2007 - Lord of the Rings Online (PC)
2007 - Pikmin (Gamecube on Wii)
2008 - Advance Wars: Days of Ruin (DS)
2008 - Sins of a Solar Empire (PC)
2008 - Portal (PC)
2008 - Spore (PC)
2009 - Rome Total War (PC)
2010 - Carcassonne (Xbox 360)
2010 - Red Faction Guerilla (Xbox 360)
2010 - Snoopy Flying Ace (Xbox 360)
2011 - Terraria (PC)
2012 - Skyrim (Xbox 360)
Notes:
I want to annotate with information on each game here.