The OP said they already almost everything that opened before last July guys, so I'm assuming they've already seen Fun Home, King&I, American In Paris ect...
While I didn't love School of Rock nearly as much as Matilda it sounds like you might really enjoy it. I would also add Tuck Everlasting to your list.
In terms of good old-fashioned musicals, definitely see She Loves Me, and Daddy Long Legs Off-Broadway. Perhaps Shuffle Along, too? Haven't seen that one yet.
I loved Bright Star when I saw it recently, but it has a very bluegrass/country kinda sound, and I don't know if that's your thing. If yes, definitely see it. It's a laughter through tears kinda story, very emotional but with a lot of comic relive moments in the most beautiful way