In addition, rabbits are not bipedal and do not have the opposable digits required to grasp objects. However, rabbits have been known to be prolific in producing offspring and leaving rabbit pellets (feces) where they're not wanted.
As pets, rabbits are probably better than most, not having the claws to damage property like cats or the inclination to make noise like dogs. But as gift-givers, rabbits f**king suck.