While FFXI is the most played out of all of these (online MMORPG) I didn't include it since I play it on the PC + it cant compare to these classics below.
1) Oni (Best thing to come out of Bungie)
2) Star Ocean 3 (Till the end of time) [First in the series I've played]
3) Resident Evil 4
4) Robotech: Battlecry [<3 My first anime]
5) Armored Core 2 AA [92 missions + hundreds of parts]
6) Chaos Legion [Never played Devil May Cry]
7) Armored Core 2 [Great story]
8) Armored Core Silent Line [Great graphics increase and added part types]
9) Armored Core Last Raven [Great story with increased graphics]
10) Armored Core Nexus [Two discs of new and classic missions]
Others:
Ace Combat 4,5,0 (games are too good to be put in a ranking system) [bEST SOUNDTRACKS E V E R]
Medal of Honor - Frontline, Rising Sun [Classics]
SOCOM (1) [Too hard of a singleplayer after the first difficulty playthrough]
Thunderblaze (I think is the name) [Fun Camanche helicopter game]
Armored Core 3 [First to make the jump in graphics and new idea parts]
About a dozen others I can't remember.
Need to finish:
Extermination [story and gameplay similar to current Resident Evil games but of a less calibur]
RPG Maker 2 [...]