I made reference in the past to the "Lick A Chick" fried chicken chain in Cape Breton, Nova Scotia, (not that that's a bad idea:)

Then, there is "Critter Burger" near New Germany, Nova Scotia.

A favourite sign in a restraurant the I heard of was "Eat here, Diet Home"

Birds often come up in restraurant names. In Prince Edward Island, there is a "Red Rooster", just a few miles down the highway from the "Blue Goose".