stayed with Verizon since the pricing wasn't enough difference to jump ship. 3 smart phones.
daughter has the S3 and the battery works great on it. she uses the hell out of it (when not in school) and it holds up well.
I just recently bought the Note 3 and love it! the battery is honestly comparable to the Razr Maxx. my cousin has the maxx and we compare battery life all the time
I'm not a heavy user at all, but I typically get 2 solid days on battery with light to moderate use.
bad ass phone imo. super fast, awesome screen and don't mind the extra size.
this is one of the best cycles I've had so far.
I think that was also about 3 hours of screen time