i've had 2 cocker spaniels who would jump up and catch swooping birds. the 2 i have now do not, and i'm glad. but one does catch rabbits. a sad but sweet story-- when our old cat, mel was very old and lived upstairs , his 'brother' simon once brought him a present of half a rabbit. simon left it next to mel's feed bowl. simon didn't try to eat it, it was very much meant for mel. i've never had another cat do that. mel lived to 21 and was getting close to 22 when he passed on.