The 2010 offense was very effective, but it was a lot more smoke-and-mirrorsy than this year's. Against all odds, it looks like Brady's actually become a better QB since then. We have a more versatile group of receivers, and therefore can attack more parts of the field. We have a more versatile RB corps, and most importantly a significantly better OL, and therefore we have a power run game that we can resort to when defenses try to flood the short zones.
Basically, the 2010 Patriots offense was really good at one or two things, and if you took them away, that was pretty much it for them. It was hard to take those things away, but if you could do it you could beat them. The 2016 Patriots offense isn't as good at any one thing as those 2010 Pats were, but there's a lot of things that can do well enough to thoroughly beat a defense over the course of 60 minutes. I think this is actually the result of a bit of a philosophical shift on Belichick's part that came about largely as a result of how 2010 ended.
One other point: there aren't any coaches in these playoffs that worry me quite like Rex Ryan did. Say what you want about Rex, but he had a dominant D assembled for him then, and he knew how to scheme against us. I'll be surprised if anyone in the AFC playoff picture this year can pull off anything approximating that.
And this is all without accounting for the defense, which, while I probably have more concerns about it than most posters here, is clearly a whole lot better than 2010's.