To the list above I'd add, firstly a group some of whom have been around since mid 90's but you'd probably say they rose to prominence over the last 10 years-
Haider Ackermann, Rick Owens, Viktor&Rolf, DSquared
Also - Preen, Giles (Deacon), Erdem, Rag&Bone, House of Holland, Rad Hourani?, Mary Katrantzou?
And I guess we have to add Stella McCartney
It's an interesting question can/has any designer risen to prominence on an 'internet only' basis. It's like in music, it's said Arctic Monkeys rose up organically off of MySpace. I'm pretty sure it's accurate to say that in fashion there's not been a similar story. A new social movement which rose up like the Arab Spring from net based grassroots and bringing forth designers, bands, artists, etc - a bit like the genesis of punk maybe - would be so exciting.
But it seems perhaps that everything gets focused now through the prism of the fashion weeks and conglommerate marketing spend. It's like recessions used to spawn interesting cultural phenomena - ie mid 70's = punk, early 90's = grunge. In this recession - what?
It seems like all the conditions are right for something to happen but nothing does.
Anyone able to identify an emergent cultural movement spanning music and design etc. Maybe my eyes just aren't in the right place.