Personally, I think Burton is overrated. He's definitely made some very enjoyable movies, but many others have been disappointing. Love Depp and Carter, though. They have been so varied that they could do Sweeney as creepy or zany. Based on the poster, it looks like the former.
This looks to be a movie of the Broadway musical. I saw the recent version on Broadway, and it was excellent. It's much creepier than the previous version. This gives me high hopes, since Burton already has a winning story and music (I didn't care for Corpse Bride or Nightmare), and he only has to provide the mood, which he's good at (I liked Sleepy Hollow).
Good Burton: Beetlejuice, Scissorhands, Sleepy Hollow, Ed Wood.
Less good Burton: Batman, Big Fish, Nightmare before Christmas, Corpse Bride
Bad Burton: Mars Attacks
The character of Sweeney seems to be more a part of the national consciousness of the UK than the US. Oddly, I think only fans of Broadway musicals are aware of him in the States (can any fellow yanks comment on this?). But when I was in London I saw several subtle references to him, and some Brits I talked to had never heard of the musical. Jack the Ripper, on the other hand, is world famous. Any thoughts?