I have a Radeon HD7750 in my own rig, and it does play A LOT of games very well in high settings. Although I do hear a lot of negative things about AMD and their drivers (or refusal to fix bugs in their driver updates.)
My own problem is thus (and may or may not be fully card specific):
High (93-99%) GPU usage consistently with temperatures around 70 degrees celcius on the desktop (i.e. no games running)
Display driver stops responding while playing most games, most recently Far Cry 3 (Which runs immaculately with ultra high settings at 1080p until it crashes.)
I have had the card tested and found to be in perfect working order, so the only answer I have is a problem with the drivers.
Other than this slight issue I have found it to be a very good piece of hardware, that does experience some frame drop occasionally at 1080p on high settings in some games (Mostly the ice caves in Skyrim), but the drivers are pretty terrible, even with the immense amount of control the Catalyst control centre gives you