I have just recently started to watch anime. So I am a complete newbie. :)
So far favorite movies: Spirited Away and Princess Mononoke.
welcome to the forums. Enjoy posting. A few recommendations I can give are Movies Wolf Children, Summer Wars, Series Fairy Tail, The Devil is a Part-timer, Dimension W (streaming now for simulcast), Spice and Wolf, Heroic Age, Nobunagun and D-Frag!.
Welcome to the forums and to the world of anime!
I like to recommend School Rumble as a pretty good starting anime. It's not action oriented but it's a slice of life/romantic comedy.
Welcome to the forums. Sorry for the late introduction. Let me know if there's anything I can help you with. :)