If your after an arcade style experience, then H.A.W.X is good, number 2 much less so. Ace Combat as stated is pretty much great across the board, but if you want a more realistic experience then check out DCS World. Its a free download with one plane, the SU-25, to which you can then add paid for modules. I "ahem" have written a fair bit about the DCS products I own (end of self publicising) and must say that they are fantastic.
That being said, don't expect to jump in and start blowing stuff up, there is a fair bit of a learning curve.
Rise of Flight takes combat flight old skool to WWI, hooning about in bi-planes and tri-planes, great fun.
Also worth a look is the Strike Fighters 2 range, more a combat flight sim "lite" approach but with more realistic flight models and scenarios than Ace Combat and HAWX. Nice dynamic campaigns too and fairly cheap.
These are PC only, so console wise its back to those mentioned already.
Oh, and for online only I would choose War Thunder over World of Warplanes, better graphics, better feel to the aircraft, and last time I checked, WoW had no in cockpit view, just a cross hair style viewpoint which ruined the immersion for me, but I stand to be corrected if that's something they have added.