The Devil is a Part Timer is fuckin glorious. Its humorous and touching at the same time. "Heaven is a place on Earth, specifically a second floor 1 room apartment." Fantastic.
Fairy Tail is great too, though it does suffer a bit (at least in my opinion) by having the supposed badass characters get their shit wrecked constantly. Erza is always portrayed as this awesome lady who can kick your ass at any point, then continually puts her in situations where she gets whipped on over and over again so that she could be saved by Natsu and Gray, despite the fact that she can kick both their asses at any time. God that shit was annoyin.
Noragami is also a great pick. Little melodramatic at parts, but the world is really nicely set up and the characters are likable enough. The only downside was Yukine, up until the point he stopped being a little shit. Its a good character arc, but its annoying as shit.
Deadman Wonderland is super duper depressing. If that's your bag, go for it because its a really good anime, but its seriously depressing. Plus the main lead is like, 2 notches above Shinji from Evangelion in whiny babyness.
No huge opinion on the others. SAO is a love it or hate it thing. Personally I love it, but to each their own. Then again, if I want video game world anime, I watch No Game No Life.
Speaking of, watch No Game No Life on Hulu people. Its glorious.
Edit -
On second thought, if you plan to watch anime just use Hulu or Crunchyroll. Of the two Crunchyroll has far more anime, but you need to pay 7 bucks a month to use it. I haven't found an anime on Hulu that you have to pay for.