Keep in mind that agility is not the only critical factor in a modern fighter aircraft. With the growth of long-range air-to-air weapons and comprehensive long-range sensor systems such as AESA, BVR combat will likely continue to dominate much of the aerial combat in coming wars.
Now, the dogfight is by no means dead. The capability to down an enemy at visual range is a skill fighter pilots across the world continue to hone. However, the ability to fire weapons like the AIM-132 ASRAAM or the AIM-9X at extreme "off boresight," angles will change the ways dogfights are fought.
RAAF tests with the ASRAAM have proved that the missile can engage a target directly behind the firing platform in testing conditions. Simply maneuvering out of your opponents boresight is no longer a guarantee of safety...
Plus, any pilot who does attempt a tail-sliding "cobra" maneuver burns vital kinetic energy, leaving him slow, and vulnerable for another enemy pilot to pick off.
If you ask, me, "which is the most maneuverable military jet?" is something of a moot point.
The real question is a holistic one: "which is the most effective fighter jet?" And that is a question we will never answer...
EDIT: Scorpion82, you are right, JackJohnson did not ask a question regarding effectiveness and I did get ahead of myself in responding to him. Usually such questions stray into "vs." discussions or other conversations which do not always reflect the multi-faceted nature of aerial warfare
However, this may not have been his intention, and I feel that I may have passed judgment on his question too soon. My apologies for any problems I may have caused.