I've been listening to a lot of acoustic or stripped-down shows - Once, Next to Normal, Bridges of Madison County, etc. Anything where you can hear an acoustic guitar at the forefront has been on my list. On the other side of things, I've also listened to some very heavily-orchestrated "comedic" musicals, like Something Rotten and Beetlejuice - shows with a modern variation on the "Broadway" sound. I also discovered that the songs from Co-op the Musical (the Documentary Now sketch) are on Spotify, and I've been enjoying those - if someone can take those songs, write others, and turn that into a fully-fledged musical, they'd be a real hero.
And on the complete other side of things, I've also discovered the play Puffs on Broadway HD and totally fell in love with that. Which isn't a musical, I know, but the proshot is on repeat the way some cast albums are, so there you go.
"I think that when a movie says it was 'based on a true story,' oh, it happened - just with uglier people." - Peanut Walker, Shucked