I haven't seen anything other than the trailers. It looks good and I hope it'll be good but I don't see why they had to redesign the Klingons so drastically.
Anyway, it'll be years before I get around to it. I'm going through Star Trek in rough chronological order. VOY was my childhood series and I started my current watch-through with TNG before dipping back into TOS. I'm currently in the middle of of DS9 (the best series so far) and later I'll take on VOY and then ENT.
I considered including the animated series, but I couldn't stand the animation. I may or may not sidestep into Babylon 5 after I finish with DS9.
I don't watch any other TV shows.