These are my favorite anime's I've ever watched in no particular order. Feel free to comment and let me know yours! Or leave suggestions for new anime's for me to watch!
Dragon Ball- I pick this over Dragon Ball Z because it seems more enjoyable to me as far as the story and characters go.
Hunter X Hunter (2011) - When I started watching this, I just fell in love with it. I watched it in two weeks and will most likely watch it again.
Fullmetal Alchemist - I've yet to watch Brotherhood, which is like a sin, I know. For now this stands as my favorite of the two by default. It's still extremely well done and had me going back to it at least 3 times.
No Game No Life - I watched this one recently, and was absolutely astounded at how good it was. I can't wait for Season 2.
Ansatsu Kyoushitsu (TV) - Another that I recently finished, this one is well done. An entire classroom of assassins? How could you wrong?
Code Geass - By far my favorite mech anime. The story is one of the most interesting out there, I highly suggest this one.
Shokugeki no Soma - Foodgasms.
Hajime no Ippo - Best sports anime you'll watch in my opinion. It takes boxing to a science and shows Ippo rise to greatness...?
Shingeki no Kyojin - This show gets intense and it does what it does well. If you haven't seen it, well first of all I really hope you upgrade from under that rock soon, and then I suggest it.
Steins;Gate - Time travel, world lines, mad scientists, Otaku's. This show is a masterpiece and anybody can enjoy it.
Honorable Mentions: Death Note The Law of Ueki Yu Yu Hakusho