6800GT ~ 7600GT ~ 8500GT.
The back of Crysis Maximum Edition (in my hand) says the 7300-series, 8400GS, & 8500GT are below spec.
You can get it running with a 7300GT (I've tested), a 8500GT (runs OK at low settings), or a 8400GS.
So even though they are below spec they will run it.
You will get playable frames at the lowest settings/res's, however don't expect it to run high, or even medium.