I am getting a nvidia 560 what are good games for that card rated t.

Solution
Alright, running the Batman: Arkham Asylum GOTY in-game benchmarks. V-Sync Off.

Multi-Samping Anti-Aliasing (MSAA): Off
Resolution: 1920x1080 (16:9)
Setting at Very High
Min FPS: 76
Max FPS: 204
Average FPS: 155

Multi-Samping Anti-Aliasing (MSAA): On at highest (x8)
Min FPS: 75
Max FPS: 178
Average FPS: 134

Yep, this card can run the game pretty well. Note, that I have an MSI R6870 Hawk 1GB. It's factory overclocked, I didn't do clock it any higher than the manufacturer. A great card for me :)

You may want to turn your V-Sync on, because there will be screen tear, there is so much frames this card has, the monitor will go out of sync lol.
Most anything will run, it just might not be a good idea to run some newer games on ultra settings. If you want anything and everything to run, get the GeForce 560 Ti Superclocked edition. It is somewhere around $60 more though.
 


I just noticed that you have a 6870. Do you like it?

How can it run Batman Arkham City?
 
Alright, running the Batman: Arkham Asylum GOTY in-game benchmarks. V-Sync Off.

Multi-Samping Anti-Aliasing (MSAA): Off
Resolution: 1920x1080 (16:9)
Setting at Very High
Min FPS: 76
Max FPS: 204
Average FPS: 155

Multi-Samping Anti-Aliasing (MSAA): On at highest (x8)
Min FPS: 75
Max FPS: 178
Average FPS: 134

Yep, this card can run the game pretty well. Note, that I have an MSI R6870 Hawk 1GB. It's factory overclocked, I didn't do clock it any higher than the manufacturer. A great card for me :)

You may want to turn your V-Sync on, because there will be screen tear, there is so much frames this card has, the monitor will go out of sync lol.
 
Solution

I will try to do that thank you