Tom Clancy's H.A.W.X. 2

Select the Mig-23 in a Team Battle game (one of two planes which are given to you immediately) and hunt down a player using an F-22 - it's that simple. This hardest part about this is finding a player who has unlocked the F-22 as it is at the end of the 'Evasion' category on the PEC Reward tree. However, you will come across someone with this plane eventually, as it is regarded as the best - once you find one, single him out and kill him by any means necessary!

Like most other trophies in the game, this can be boosted with another player, albeit someone who has unlocked the F-22. Get in a player match together, shoot him down, and the trophy will pop. You can then quit if you want.