All i've been playing lately is FIFA 09, since it was released a month ago, and totally ignored my "story" games. Of all the Xbox 360 games i currently own:
Finished 100% (ie: either 1000/1000 Gamerpoints, or close enough)
Amped 3
Bully: Scholarship Edition
GTA IV (100% in-game stats, not all GS)
Oblivion + Shivering Isles
Test Drive Unlimited
Finished in some way
Bullet Witch - finished on Easy and Normal
Burnout Paradise - got the highest license but need to do the 90+ remaining events
Call of Duty 3 - finshed on normal
Call of Duty 4 - finished on normal, got half way on Veteran
Gears of War - finished on Casual, got to end of Chapter 4 on Hardcore
Halo 3 - finished on normal and Heroic
PGR 3 - finished the career at Silver level
Unfinished (some i got quite far, most others I played for an hour or two then abandoned)
Bioshock
Condemned
Crackdown
Devil May Cry 4
Forza Motorsport 2
Full Auto
GRID
Gun
Hitman Blood Money
Lego Indiana Jones
Mass Effect
Naruto Rise of a Ninja
Need for Speed Carbon
Ninja Gaiden 2
Orange Box, The (any game within)
PGR 4
Rainbow Six Vegas
Saints Row
Tomb Raider Anniversary
Tony Hawk American Wasteland
Tony Hawk Project 8
Top Spin 2
Two Worlds
Haven't even started (most are still sealed)
Call of Duty 2 - done the training, haven't started the story proper
Conan
Fable 2
Far Cry 2
Kameo
Lost Planet
Marvel Ultimate Alliance
Midnight Club LA - will probably sell...
MX v ATV Untamed
Outfit, The - this game won't play because of a PAL-60htz problem
Saints Row 2
Splinter Cell Double Agent - done the training, haven't started the story
Stranglehold
Too Human
Viva Pinata
Viking: Battle for Asgard
I get most of my games fairly cheap by the way, either at launch via trade deals for less than half the retail price, or later on in a game's shelf life through crazy price reductions, so i'm not wasting as much money as you might think, but still I have a problem

As a 360 gamer, i consider "finishing" certain sports games as getting all feasible achievements from it. FIFA 09 seems like an easily attainable 1000, whereas FIFA 08 for example is finished for me at say 500 points.
I'm also not even considering my ~30 XBL Arcade games or my Wii games, though my Wii is pretty much multiplayer only (except for Mario Galaxy which i finished 100%, and Corruption which is another unfinished game for me).
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