Where to begin...
I listen to everything from electronica to rock to bluegrass on occasion.
The last concert I went to see was Ladytron in Minneapolis. Other groups I can either remember looking up on youtube, running across and liking on KCRW, or found on a jango (or have a jango channel of) include, in no particular order:
Moloko, The Knife, Fever Ray, SBTRKT, Gotye, Thievery Corporation, Metric, Ladyhawke, The Klaxons, deadmau5, Royksopp, Familen.
Siouxsie and the Banshees, Depeche Mode, Pixies, The Smiths, Mazzy Star, Hope Sandoval and the Warm Intentions, Fiona Apple, Norah Jones, Alicia Keys, Tracy Chapman, Squarepusher, Venetian Snares, Amon Tobin, Moby, Portishead.
On the current Hot 100, artists I like include Adele, Foster the People, Katy Perry (took me a while to warm up to, but listening to some covers of her convinced me she is actually pretty good), Lady Gaga, Florence & the Machine, RHCP.
Going back a little further, I'd have to add Billy Joel, Public Enemy, Fleetwood Mac, REM, and while one might hesitate to call this music though it's damn entertaining, Weird Al Yankovic.
Told you it was an unusual list.