okay there's 3 new ones that fit that (for the most part)
Ao No Exorcist
The Money of Soul and Possibility Control
Deadman Wonderland
mind you these are all just recently released so there aren't many episodes out for them yet, and deadman wonderland is still in its explanation phase... the money of soul and possibility control and ao no exorcist get into their action pretty fast, seeing how someone already died in ao no exorcist and it only has 2 episodes out... tMoSaPC (imma short form it its too long) has action in the first episode, then it gets more into the story w/ action on the side... a really funny one you could watch is Beelzebub... its about this delinquent who picked up the demon lord's kid and has to raise him to be able to destroy humanity... its really funny
razz and that one is at like 14?15? episodes... if you want a really dumb adventure you could watch dog days... a middle school kid from england doing exchange or something in japan get sucked into another world, and for some reason all the people are mixed with animals (like lions or dogs) and he was brought there to ba the "hero" of the dog people...
yes... i can write a lot about anime cause homework is boring and there is nothing else to do when im grounded, sooo... yeah
its easy to find new animes if you go to anime44.com
it's got pretty much every anime out there (i havent found one where it isn't there) and it also has the 2 latest naruto movies on there, just incase ur wondering, and it'll have the new FMA movie when it comes out... if you havent heard about that it's called
Full Metal Alchemist: The Sacred Star of Milos
it comes out in Japan on July 2nd so they should have a subbed version around 1-3 weeks later (they need a good version, then they need to sub the whole thing)
sorry bout this being so long...