I don't have a complete list... but here's just a few games that I can think of. I have older systems as well, but I'd have to dig out the cartridges to list them (SNES and Sega Genesis... sorry guys, the Genesis is better in my opinion
). I also have an original fat version of the PS2 from when it launched. Still works great, just lost all of my games except for Grand Theft Auto Vice City.
Xbox 360:
-Grand Theft Auto IV
-Grand Theft Auto V
-Fallout New Vegas
-Portal 2 (LOVE LOVE LOVE this game. Hope a Portal 3 comes out!)
-Halo 3
-NHL 13 (Controls suck... as they did in NHL 2015 imo)
-FIFA 13 (Sold... didn't enjoy it at all)
-Doom II: Hell On Earth (I don't own this, but my buddy and I always play this on his house and is a fun port from the old PC version)
-Call of Duty 4 Modern Warfare
Xbox One:
-Destiny (All DLCs... LOVE!!)
-Halo Master Collection (Halo, Halo 2, Halo 3, Halo 3 ODST, Halo 4)
-Mortal Kombat X
-Assassins Creed IV: Black Flag
-Tomb Raider: Definitive Edition
-Watchdogs (I personally hate the physics engine so I don't play it much at all)
On my list of games to buy...
-Fallout 4 (Xbox One)
-Halo 5 Guardians (Xbox One... obviously as it's an exclusive
)
-Borderlands Handsome Edition (Xbox One)