Oh yeah, my boys eat banana every time we peel one. All fruits and veggies are ok aside from the grapes, onions, garlic oh and raisins of course. (In moderation)
Bananas are very good for dogs. I remember an episode of Dog Whisperer where he said if a dog is eating poop that there's something missing in the diet, and bananas will replace it. I forget exactly what he said it was.
We give ours bananas sometimes except Buddy, he does not like them, also give all of them, Buddy included because he likes them, bluebarries, and sometimes a little piece of apple.