Well, you have a lot of popular stuff on there, so I could recommend you a number of things that are similar within that, but I am of the opinion is it important to branch out and try totally new genres that you have never heard before. Had you posted post rock, metal, and rarer electronica acts or something, I might have immediately come up with new bands within those no problem, but as I see it now, recommending you bands similar to those you have mentioned would do you no good in terms of musical exploration. I'm sure there is plenty of music in genres you have never heard of that you would enjoy but that you would never find by just looking for artists similar to those you like already. Therefore I will recommend you a wide range of bands from various genres.
Lets start with metal. Since you like Disturbed, I'm sure you can find something that interests you in the world of metal.
Doom metal: Katatonia, The Great Cold Distance
Power metal: Helloween, The Dark Ride
Death metal: Dark Tranquillity, Character
Progressive metal: Fates Warning, FWX
Gothic metal: Lacuna Coil, Comalies
Post-metal: Red Sparowes, Every Red Heart Shines Towards the Red Sun
How about rock, and not rock that you have probably ever heard of.
Post-rock: Explosions in the Sky, All of a Sudden I miss Everyone
Post-rock: Ef, Give Me Beauty Or Give Me Death!
Classic rock: Dire Straits, Dire Straits
Alternative rock: Gin Blossoms, New Miserable Experience
Hard rock: Blue Oyster Cult, Curse of the Hidden Mirror
Now for electronica.
Avant-garde: Ulver, Shadows of the Sun
Experimental: Coil, Black Antlers
Psychedelic: Shpongle, Nothing lasts...but Nothing is Lost
Psytrance: Yahel, Super Set
House/Trance: Tiesto, Magik 6: Live in Amsterdam
Ambient: Future Sound of London, Dead Cities
Since you are premium, I can upload any number of these to the zoo. Come on into #music and we can talk about it. I'd be happy to give you some of it to sample, even just a song from each and then I can upload whole albums later. I'm sure you won't like at least half of this stuff, but even if you like only one, you'll have discovered a whole new genre of music to listen to.