What is sold as 1" chicken wire keeps out all my birds- robins, catbirds, orioles and some smaller ones I can't identify. Most of the smaller birds are seed eaters but I have lots of birds I can't identify and none go into my BB house. My place is a virtual wildlife preserve.
As far as chicken wire overhead to keep out bunny rabbits, only if you have the species around that Monty Python made famous.
[NAFEX] chicken wire blueberry house,
Alan Haigh, 05/20/2009