[QUOTE=coffinjumper]
Not only is this wonderful, but Stephen Schwartz wrote both this and Pippin, so the OP should like.
Looking briefly, and unsure which itunes have but,
Aida
Phantom of the Opera (yes, yes I’m recommending Webber. Deal with it. Longest running show on broadway and awesome soundtrack)
Dirty Rotten Scoundrels is pretty fun (Tony performance of one of the songs here )
Reefer Madness (just 'cause I like the wacky)
Urinetown (still having fun with this)
Cabaret
The Life
Into The Woods (not really because of style, but I’d feel ashamed of myself if i didn’t offer a Sondheim)
I can offer samples of anything you’d like to be more sure of too. Including everything already recommended.
[/QUOTE]
Great list! I was just about to mention several of those myself. 
Judging by the shows in the OP, you need to get Jesus Christ Superstar. It’s the kind of rock opera that fits exactly with the shows you already have.
Seconding The Rocky Horror Show.
Another rock-ish show I like is Taboo, the Boy George musical. Get the Broadway version, not London, as that one has Raul Esparza and an additional song.
If you like Stephen Schwartz (Pippin, Godspell, Wicked), another one by him I like is Children of Eden.
You have Rent on your list, so you will probably enjoy tick…tick… BOOM!, which is also by Jonathan Larson.
I love ALW’s Phantom. I think the music is beautiful and it’s the same kind of sung-through show as what you have.
Try a Sondheim or two. They’re different than the shows you’ve listed, but they are brilliant and I find Sondheim to be very catchy. Sweeney Todd, the original recording w/ Angela Lansbury & Len Cariou, is a masterpiece.
Other favorite albums of mine, that may not fit what you want exactly but that I will highly recommend to anyone, include:
Side Show
Closer Than Ever
Urinetown
West Side Story
Company
A New Brain
Bright Lights, Big City
The Full Monty
Jekyll & Hyde
Kiss of the Spider Woman
Martin Guerre
March of the Falsettos
Rags