Bananas
Here's a funny animated cartoon of a banana (or possibly a plantain) sleeping and realizing his peel has fallen down.
This cute animation shows a bunch of bananas with monkeys popping out saying "Thanks a bunch!"
A large, transparent png of a half peeled banana ready to eat.
A single banana with it's peel unopened.
And in case you just want a small piece of clipart, this one is very little.
This is another cute animation, this time the banana is pulling his peel down slightly.
Apples
An animated gif of a barrel filled with water and some apples, looks like someone is about to play "bobbing for apples".
This cute cartoon of an apple with a smiling worm in it is also available as an SVG if you prefer a large size or want to use the image in print media.
A slight variation of the last image, again a red apple with a worm inside.
Looks like someone has already eaten this one, all that's left is the core.
Golden apple
A green apple with both the entire uncut fruit as well as cut in half to reveal the inner fruit and seeds.
And here's the same image as the last but just the whole apple.