Sprinting down the street
Bunnies are very cuddly if you give the time to bond with them. Mine was like a cat. She would lay in bed with me for hours and lick my arm.AussieBird, your sister's rabbit is one rabbit. As a general statement, yes, bunnies aren't cuddly. It does them a disservice to say otherwise. Everyone gets them hoping they'll be the exception. That's why so many are in rescue.
Anyway, this is derailing the thread. The OP wanted advice about birds...
They're just like birds. You have to put the effort into taming them and gaining their trust. But, once you do that, you'll have a great companion.