I finally got around to making that list. Here are all the multiplayer 360 games in the house and, coincidentally, a list of all the games I've not played and so at which I am inherently terrible :D

Console: Xbox 360

GamerTag: DiabeticMeerkat

Games (in no particular order):
Battlefield 4
Black Ops 2
AC: Brotherhood
GTAV
RDR
Gears of War 3
ME3
MW3
War for Cybertron
Brink :p