I suppose it really depends on what type of house it is. Is it an old abandoned shack? Maybe they could(once per battle, maybe) cause the roof or some support beams to collapse and damage all enemies, or the floor to crack and trip them. Or in a better cared for house, they could toss furniture , or shatter windows to surprise them. It really depends on what type of house we're talking about.
As for elements, I'm not really sure.