F-22 hasn't seen enough action to warrant being my favorite Jet. Its got amazing technology but there hasn't had enough opportunity to prove itself.
As for my favorite? I am gonna go real old school here and go with the Messerschmitt Me 262. It was the first operation jet Powered Fighter. It saw limited action in the War because of Hitler's insistence that it be able to carry bombs, but when it did finally enter service there was nothing in the sky that could compare to it, even after the British introduced their own Jet the Me 262 remained king of the skies.
I think I would have to go with the F-16, just for the sake of good ol' memories that I've had over the years using it on old fighter jet games with my cousins and stuff. And I used to have a bunch of little models of them in different colors too, so yeah I'd probably go with that.
From the present day, I would choose the F-35 Lightning II, but my all time favorite fighter plane would be the Spitfire, mainly because ot looks great and it was the first fighter that focused on maneuverability rather than power.