There's very few I don't know - if any, actually. :)
There's many I wouldn't have necessarily thought of, but which are indeed often on similar playlists of mine - Fields of the Nephilim, Black Tape for a Blue Girl (I thought no one else knew that band, lol) Einstürzende, Clan of Xymox, Zeromancer, Switchblade Symphony, etc...
Another band that shows up close to Bauhaus is Christian Death, I absolutely love their first couple of albums w/ Rozz. The whole death rock scene, and bands like the Misfits...
A couple of ones I have in my current playlist right now that I don't remember noticing there -
Sieben
Seraphim Shock
Qntal
Nosferatu
Lacrimosa
Kirlian Kamera
Visage
Faith and the Muse
Abney Park (fellow Sonar users, IIRC)
Neon Judgement
And too many other to list.
Many of these only have one or two songs I dig, but I couldn't be w/o those.