This is a somewhat truncated list of my favorite games ever, it actually goes all the way back to 1977 but everything before '83 was all arcade, Atari, or Intellivision stuff. Be forewarned there's still some arcade and console stuff mixed in the list.
My PC gaming hobby started with playing Infocom's Deadline on my neighbors IBM-PC in 1983. The next year I got a Compaq Deskpro "IBM Clone" and I've been gaming with PC's since then.
If it's got an * next to it it's one of the all time greats, I still play those games even now.
1983 - Star Wars(arcade), Deadline
1984 - Spy Hunter(arcade)*, Flight Simulator II
1985 - GATO, Ancient Art of War
1986 - Starflight*, Sopwith 2
1987 - Gunship, Chuck Yeager's Advanced Flight Trainer
1988 - F-19 Stealth Fighter, Popcorn
1989 - Their Finest Hour, Vette!, Sim City
1990 - Wing Commander, Gain Ground, Operation Thunderbolt
1991 - Flight Simulator 4, F-Zero
1992 - Wolfenstein 3D
1993 - Final Fantasy III, Empire Deluxe, Doom, Simcity 2000, Strike Commander
1994 - wing Commander III, X-Com*
1995 - Descent, Mechwarrior II
1996 - Duke Nukem 3D, Warcraft II, Command and Conquer Red Alert
1997 - Shadows of the Empire, P.O.D. , Civilization II*
1998 - Gran Turismo, Final Fantasy VII
1999 - Homeworld*, Half Life*, Re-Volt
2000 - Metal Gear Solid, The Sims, Black And White
2001 - IL2 Sturmovik, Grand Theft Auto III
2002 - Grand Theft Auto Vice City*
2003 - Orbiter, Madden 2003, Call Of Duty
2004 - Far Cry, Half-Life 2
2005 - Rome Total War, Grand Theft Auto San Andreas
2006 - Silent Hunter III