I'll second the following Recs
Gruntsplatter
Einsturzende Neubauten
Skinny Puppy
Raison d'Etre
Lustmord
Coil
Nothing
I'll also go ahead and recommend
Throbbing Gristle
NON
Whitehouse
Navicon Torture Technologies
The Axis of Perdition
Grunt
Melek-Tha
Brighter Death Now
In Slaughter Natives
Genocide Organ
Merzbow
Masonna
Karlheinz
Massdirge
Emil Beaulieu
Mz. 412
Annie Gosfield(everyone who likes TG or Neubauten needs to check her out, shes on Zorn's Tzadik label and records the sounds of factory and instruments being destroyed... on her last album she had a duet with a violin and a satellite)
Basically when you get into Industrial its best to ignore bands such as NIN, Kmfdm and Ministry who have large amounts of industrial in their sound but are for the most part rock based... It started as a freeform art project that was against the commercialism of arena rock and punk. As such it was anti-music and has more in common with musique concrete than any sort of rebellion based genre. The most distinct branches of Industrial these days would be Darkwave(which is a lot of the bands with the rock influences), Power Electronics(Noise, with a fairly simple beat... can get quite complex in structure though, i'd say it compares to noise like death compares to grind)
Noise(no real structure, just boundless sonic expirimentation)
Dark Ambient(The more soundscape style music, it can either be emulating a dungeon or surprisingly soothing)
Than you have the classic industrial, industrial rock etc...
You'll hear descriptions bounced around like Black Ambient, Death Industrial, Tech Noise... those are all faux genres like how people will say that something is war metal and such...