Sounds like you would enjoy some of the more classic indie/alternative, mostly British.
I'll give you some great CD's of artists that influenced most of the newer artists you list
The Smiths - Singles (give this a chance, once you're hooked, go for the rest of the albums)
Stone Roses - Stone Roses
The Clash - London Calling, or a good best of
Echo & The Bunnymen - whatever best of you can find
Psychedelic Furs - Greatest Hits
Depeche Mode - Violator, Black Celebration, Songs of Faith and Devotion, or get the singles collections
There's a start anyways, hope you enjoy
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