The Godfather II - deleted scene [what Olivant said above]
Sonny's daughter Francesca and fiancé Gardener Shaw This was a really nice scene indeed showing Michael having a heart! as the loving, caring family man, joking and laughing as opposed to the ruthless, murderous Mafia Don
Sadly, it also showed how Fredo was not part of Family matters nor Family business nor....“And Fredo -- well -- Fredo was -- well --â€
...and, sadly, earlier in the boathouse, Tom excluded from the discussion with Johnny Ola.
The Francesca scene is, as you said, really nice. As I've mentioned before: in the "Saga" version of GF and II shown many times on US cable TV, there's an additional ~10 seconds at the very end of that scene. Michael turns to a hulking young man in a plaid sports coat and says, "How's the football, Santino?" "Fine, Uncle Michael," he replies. That guy is Sonny's second son (his oldest son, Frank, was shown reading a "Get Well" card to Vito when he returned home from the hospital in GF).