What's the best aircraft depends a lot on doctrine and how applicable that doctrine is.
If you have AWACS available, then a US-type doctrine (long-range engagements) is probably best. In that case, how maneuverable an aircraft is is decidedly secondary to how good are the battle management system, electronics, avionics and missiles. Do you outrange the other guy, can you burn through his jamming, get a lock before him, keep it while he can't, etc... If your missile's still got maneuverability after travelling all those miles to its target and the other guy's has lost you (or can't even reach) you stand a good chance to win regardless of wether your own plane's a good dogfighter or else.
For this kind of work, planes like the F-14D (the one on which the targetting system really works), and AMRAAM-equipped F-15 and F-22 have a real edge, the F-22 really standing above the crowd if the plane to plane datalink I've heard about is really implemented (i.e., it lets one plane's missiles to get targetting data from another plane).
If all this fancy air battlespace management doesn't work that well, however, you'd better be prepared for a good dogfight.
Here the F-22's really very good again. The Sukhoi may be able to perform really fancy maneuvers, but the F-22 can actually fly and keep flying at angles of attack any other plane in the world (except the Harrier, of course) would eventually stall.
Of course, missile performance (in thais case, short-range IR types like the Sidewinder) is very important also. I guess the best short-range missile today must be IAI's Python-4, followed by Matra's R-550 and the AIM-9M. I have no idea where the Russian AA-11 stands.
In simulated engagements between F-22 and Eurofighter, Rafale, Grippen, etc... the kill ratio hovers around 10:1 in favor of the F-22. I guess that nails it.
Apart from this crowd, the best aircraft is usually whichever one has the best pilot (provided the tech levels aren't too dissimilar) - so be careful if you intend to fight the Israelis!
Sidenote: the superlative American training standard has usually been mostly a myth (except in the USN: carrier landings make short work of average pilots) when compared to other Western air forces. CW pecking order in the early 90's was Israelis, USN, French, USAF-RAF, Luftwaffe, Rest of the West+Japan+Russia's best, etc...
Since everybody's stepped training down since then, it's a good question what the standings are today, except I'd guess the Israelis have kept their edge, and the carrier crowd can't afford to train less anyway (so that leaves the handful of French naval aviators in the quite interesting position of being amongst the best pilots in the world while flying some of the worst junk).
It'll also be interesting to see what happens with the RAF when they get real dogfighters again.
