Like Infinite Health/HP or Ammo or Magic.
In game codes or in the opition menu.
Please give me list of games and sources of cheats if possible.
All of the lego games
Rainbow Six Vegas 2
Grid
Kung Fu Panda
Bully:Scholarship Edition
TimeShift
Tony Hawk's Proving Ground
Street Fighter 4
Medal of Honor:Airborne
NBA 2k8
The Orange Box- Portal
Thrillville: Off the Rails
That's all I got.

GTA IV
Saints Row 2
Uhmm there are plenty of others .
Check out gamefaqs.com they have a whole database of cheats it's awesome
References :
gamefaqs.com
All of the lego games
Rainbow Six Vegas 2
Grid
Kung Fu Panda
Bully:Scholarship Edition
TimeShift
Tony Hawk's Proving Ground
Street Fighter 4
Medal of Honor:Airborne
NBA 2k8
The Orange Box- Portal
Thrillville: Off the Rails
That's all I got.
References :
Gamewinners.com, Game Informer mag, and ign.com have cheats
the answer is a lot of xbox 360 games have cheats, i give you in the source below a link to a xbox 360 website that is only about cheats…
Download Xbox 360 videogames for free:
http://www.pubblicitadvertising.com/e4360e.php
References :
xbox 360 list of games cheatable:
http://www.xbox360cheats.com/