Here goes.
Air - Moon Safari is one of the best electronic albums ever released, and it is definitely not your average CD. Le Voyage de Penelope and Electronic Performers are some of my favorite songs.
Boards of Canada - Geogaddi is another electronic great. BoC are very good at making an
album that is cohesive, not just a bunch of great tracks. Julie and Candy is my favorite here.
M83 - My favorite electronic band. Simply amazing music. Dead Cities, Red Seas & Lost Ghosts not only made me an electronic fan, but also ranks as my second favorite album of all time (behind The Bends). Run Into Flowers, God of Thunder, and Unrecorded are all surefire picks.
DJ Shadow - An excellent artist. Pick up the Deluxe version of Endtroducing... and find yourself in bliss. Organ Donor is an amazing track.
Rjd2 - Again, a great artist. Check out The Horror and Ghostwriter from Deadringer.
Oasis - (What's the Story) Morning Glory is a great album. Brit Rock at its finest - though I'd stay away from anything post-1995/96. Look into Champagne Supernova and Wonderwall.
Of Montreal - OM is a great way to get started into the indie pop sound. Satanic Panic in the Attic has great songs - definitely check out Disconnect the Dots and Rapture Rapes the Muses.
The New Pornographers - A great collection of indie artists that make awesome music. Both Mass Romantic and Electric Version are must-have albums for indie fans.
Wilco - A great band. They really deserved that Grammy. I love Casino Queen from AM and Jesus, Etc. from Yankee Hotel Foxtrot.
I'd love to talk about music more indepth if you ever want to, PM me if any of you want to.
And there are MANY more bands where those came from!