Lestat and Threepenny are duds. Skip them.
This production of Sweeney Todd is best seen when you're familar with different stagings of the piece. Yes, it got a host of rave reviews, and I am in the minority, but any number of people feel that like Alice B. Toklas' Oakland, there is no 'there' there. It feels like a show was crammed into a concept instead of it fitting nicely.
My feelings about Sweeney which are mine, are disputed by a lot of folks both on the Boards and elsewhere. I am of the feeling that this ought not be your or anyone's first production of Sweeney Todd.
I am happy to say that Drowsy Chaperone is clever, smart and funny. It is also the Tony favorite at this point. Deep it isn't, but it is well done and a whole lot of fun.
So I'd say there is no real choice among the four shows listed.
"If my life weren't funny, it would just be true. And that would be unacceptable."
--Carrie Fisher