I'll go with the one where Sonny's daughter and her fiancee come to see Michael so he can ask for her hand in marriage. Michael seems really moved, and when he finds out the young man is studying art, but that he has a huge trust fund, he gives him the avuncular advice to take a few business courses just in case. Then when they leave he gives instructions to give them a big dowry so the groom's family doesn't think the Corleones are a bunch of barefoot peasants. This scene shows
a kinder side of Michael than any other in the trilogy....which is probably why it was cut.