I'm not really sure.
I'm 14 actually, so I don't know for sure what anime a 16 year old would enjoy. =P
My favorite animes out of all the ones that I watched: (which is a LOT .-.) Inuyasha, Sailor Moon, Kamichama Karin, Shugo Chara, and several others that I can't seem to remember.
But my favorite anime, if I had to choose, would be Full Moon wo Sagashite.
It's sad, but it keeps you entranced until the very end. :]