I haven't seen most of the new animes but i've seen a vast many.
http://myanimelist.net/animelist/OsDI have a very heavy focus on Action, Slice of life, and Romance
One Piece is a good example of all of the above, but i'm looking for something extremely sentimental.
At the moment i'm looking for something that can make me
CRYif it made you tear up, i wanna see it. MAKE ME CRY BOYS.