Hey there, I will recommend what I think you should check out, and the ones that I really love! I just got done watching Elfen Lied, pretty good. Gory as heck though! Kaze no Stigma is badass! Kazuma should be in every show, in my honest opinion! To bad they don't go further with the death of you-know-who :\
Anyways try these out! (Order of my favorites):
Heroic Age
Fate/stay night
Fate/Zero
Shakugan no Shana
Demon King Daimao
Angel Beats!
Tears to Tiara
Infinite Stratos
Guilty Crown
A really good funny show just for funs is but not a whole lot of action- "Baka and Test." Highly recommend this one also.
Those are the ones I REALLY love to watch and re-watch!
I'm about to try out "Tsubasa: Resevoir Chronicle" next, hopefully it's good.
It's hard for me to find new Anime to watch that catches my views like these. The action, with some romance with the magical girlfriend, sometime with school, etc, are what I look for.