Lots of interceptors everywhere. If you attack move (foolish unless numbers prevent micro) you end up with huge air battles and lots of lost interceptors falling from the sky (accompanied by reduced frame rate and possible game is slowed messages).
If you micro, then its basically intercetpors are attacking carriers only, not too impressive as the interceptors die as soon as the carrier dies.
Basically carrier vs carrier is like any low number unit fight, with focuse on the main key units. Carriers vs marines is more impressive as the carriers can not focuse on them but the marines can attack move and kill the interepters (although killing carriers may still be better).