You may not like this type of music as a matter of taste, but it is hard to deny the "originality" and "innovativeness" of bands such as:
Joy Division/New Order - UK The Cure - UK Depeche Mode - UK KMFDM - Germany Elvis Costello - UK The Polics - UK The Clash - UK Gang of Four - UK Echo and the Bunnymen - UK Kraftwerk - Germany Bjork - Iceland The Sex Pistols - UK Siouxsie and the Banshees - UK Roxy Music - UK Wolfsheim - Germany The Smiths/Morrissey - UK Eurythmics - UK Tears for Fears - UK
Oh and let us not forget freakin' DAVID BOWIE!
You also cannot deny that Punk was born in the UK as well as New Wave and synthpop.
More recently we have some post-punk revivalists (which have largely built on the music of the above bands, so their "originality" might be in question) such as:
Franz Ferdinand - UK Bloc Party - UK Kaiser Chiefs - UK Metric - Canada The Organ - Canada
I've only listed the most recognizable names in the genres. There are many many other "Good non-American bands" in these genres.
But again it is a matter of taste and therefore a pretty silly topic.