[Customer]

It's not a named genre, but Anime where the main character OP/far above average (by far above average I mean not the strongest in the series, but getting there). As for Action Romance Comedy anime I could suggest
-Grisaia no Kaijitsu
-Rosario + Vampire (+Capu2)
-Akame ga Kill!
-Madan no Ou to Vanadis
-History's Strongest Disciple Kenichi
-Kaze no Stigma
-Infinite Stratos (+Encore)
-High School DxD
-Date A Live
-Air Gear

That's pretty much all I can think of. I don't know exactly what kind of romance/action balance you like, so some of them have tons of action and a bit of romance and vice versa. Also some of them are serious with comedy as a kind of side genre that only comes out once or twice every few episodes. Hopefully you enjoy at least one of these

Can you believe there are people that haven't seen Rosario Vampire?