Kraftwerk, Cluster, Brian Eno, Depeche Mode, Human league, Fad Gadget, New Order, Devo, zoviet-france, Autcechre, Der Plan, Yellow Magic Orchestra, Bill Nelson, David Sylvian, Talk Talk, Neu!, John Foxx/Ultravox
In agreement with the first 4 posts, there's also some good (relatively) new artists: The Knife Flashbulb Caribou DJ Shadow (not new, but should have been mentioned) Massive Attack (does trip-hop count? not new either)
This list is seriously lacking in electronic and dance artists. There needs to be a separate list for electronic music. The only name that jumped out at me was Aphex Twin, which is hardly even scratching the surface. Artists that should be included:
Air Autechre Boards of Canada Daft Punk Justice (I realize they're relatively new, but I think they're worth mentioning) M83 Thievery Corporation Zero 7
I'm sure others could come up with a more comprehensive list, but I think that's a good start.