As a local who sees basically everything, here are my two cents -
Hadestown & Oklahoma! are the two shows I would consider must-sees to anyone. Unless you're really against seeing darker shows, these are two musicals at the top of their game. The Ferryman would be my third choice, and while the other plays (Ink, Lear, Gary) haven't started yet, they seem primed for success.
I personally really didn't enjoy The Prom, but it's apples and oranges. I'd even recommend Be More Chill over it.
Whatever you think you like, you should see! Enjoy.