What other pets should be avoided if you have a cat?

I think the cats have become soft after being domesticated. All animals in the cat family are predators capable of taking down larger preys than themselves. Most parrots aren't bigger than full grown cats, except for a few extremely large species. Still, these birds aren't predators. In the wild, most animals are either predator or the prey. I would be more worried about the birds being killed by the cats.