Godfather
Nino Rota
This is originally for the piano, but what the heck. It's worth a try:
e------------------------------|
B------------------------------|
G------------------------------|
D------------------------------|
A---0-3-2-0-3-0-2-0------------|
E-0-----------------1-3-0------|
You can play it on the bottom 2 strings, the middle 2, or the top 2.