Man OP, why'd you have to go and post this question?! I can't resist. :)

Being that I'm old school (having a Magnavox Odyssey back in the day, I'll start with the Atari 2600 instead. These are ALL in no particular order as they all have their merit.

Atari 2600

1. Adventure
2. Warlords
3. H.E.R.O.

Arcade Classics

1. Cheyanne (shooter game)
2. Spy Hunter (preferably the sit down one)
3. Dragon's Lair (amazing at the time
4. Punch Out
5. Smash TV!

Commodore 64

1. Bruce Lee
2. Sid Meyer's Pirates
3. Elite
4. Ultima III
5. Nam by SSI

Intellivision

1. Tron: Discs of Tron
2. Casino Games
3. Baseball

Xbox & 360

1. Crackdown 1 & 2
2. Need For Speed series
3. Burnout 3 & Paradise
4. HALO
5. Portal 2

PC

1. Counter Strike (beta through current - Source is okay)
2. Various racing sims (w/ force feedback Logitech steering)
3. Battlefield 1942
4. Battlefield 3 (4 is meh)
5. Far Cry (amazing for it's time)
6. Grand Theft Auto IV
7. Assassin's Creed IV: Black Flag
8. Sniper Elite II (WOW!)
9. Portal
10. Severance: Blade of Darkness
11. Wolfenstein 3D
12. Quake III
13. Doom
14. Star Wars: Tie Fighter
15. Half-Life 1 & 2
16. Fallout 3
17. X-COM UFO: Enemy Unknown
18. Ultima VII: The Black Gate
19. Deus Ex (1st one)
20. Drakan: Order of the Flame

That's it for now... :)

I have Battlefield 4 and a ton of other things in my PC but NO time to play them, lol. I shoot photography and travel a lot, so at 41, I have other things to play with besides my own joystick these days! (You know that stuff you guys look at at night when your wives and girlfriends go to sleep? Well, it doesn't shoot itself you know).

Asus Sabertooth X79 motherboard
Intel 3930k @ 5GHz stable on Air
Noctuna nh-d14 CPU fan (quiet and no worries of leak like a liquid cooled)
32GB G.Skill Ripjaws 1866 Ram
500GB Samsung 840 Pro SSD main drive
2 x 2TB Western Digital Caviar internal storage
2 x 3TB Western Digital USB3 backup drives
GTX 680 4GB DDR video (GTX Ti 6GB going in next month)
X-Fi Fatal1ty surround sound
Fractal design define r4 case (best case I've ever built in)
Thermaltake 850W P.S.