The F-22's stealth capability is what sets it apart.
I am sure many of you know of the tests the AF runs. One F-22 versus 5 F-15's is one I have heard of. No contest. The F-22 kills most of them without being seen. Of course these are simulated missile shots and anything but the Sidewinder has yet to prove it's reliability, but seeing the enemy before he sees you is a huge advantage.
The F-35 is a dog. Any fighter currently in the inventory will eat it alive if it gets to a turning/energy fight.