One of the most laid back rabbits breed is the Dutch rabbits. Dutch are really laid back and are also great rabbits for kids. The Dutch rabbit is simply identifiable by the characteristic color pattern. Read more at http://en.wikipedia.org/wiki/Dutch_rabbit.
depends on how you treat it. When they're young, hold them a lot. treat it like a cat almost; bunnies are shy most of the time, but it's because they weren't raised with the attention they need. My bunny is a mutt and she takes naps with me, plays with me, and begs for treats and kisses.