Personally I never could get into Smith's Doctor and really The Day Of The Doctor showed how similar his and Tennant's Doctor are.
In some ways they are, but they are different as well. Ten had a heroic, swashbuckling style, whereas Eleven could be a huge dork. One my favourite moments of Eleven is from "A Town Called Mercy", and it's such a tiny thing. It's when the Doctor has found Kahler-Jex's escape pod in the desert. Trying to get it to open, he starts bongo-ing on the top, then hits too hard and shakes his hand, "Ow!" That's just so adorably daft and I can't see Ten doing it at all.
I can in The Day OF The Doctor, Tennant was talking to an ordinary rabbit as though it was a Zygon, he could be just as silly given who wrote him.