Songs that can be played on an eight-note toy xylophone

You can actually make a decent version of it on a 5-note toy piano, if you can play two notes at a time:
[I agree that the OP’s A to H scheme is better replaced by a 1 to 8 scheme, so I’m using that]

1+5 (repeat three times), 1+4 (repeat two times), 2+5 (etc.)