A couple I can think of:
Best
Arcade Fire - Guns Of Brixton
Original by The Clash
Tom Hodge - Aerodynamic
Original by Daft Punk
The Ukelele Orchestra of Great Britain - Dy-na-mi-tee
Original by Ms Dynamite
The Killers - Shadowplay
Original by Joy Division
Jonsi - Time To Pretend
Original by MGMT
Dragonette - The Boys
Original by Calvin Harris
Florence + The Machine - You Got The Love
Original by Candi Staton
Noisettes - When You Were Young
Original by The Killers
Sugababes - Freak Like Me
Original by Adina Howard also heavily samples Gary Numan's 'Are 'Friends' Electric' on that note...
Moloko - Are 'Friends' Electric
Original by Gary Numan
Blondie - The Tide Is High
Original by The Paragons
Maxence Cyrin - Where Is My Mind
Original by Pixies
Maxence Cyrin also does amazing covers of D.A.N.C.E (Justice), Around The World (Daft Punk) and Windowlicker (Aphex Twin).
Finally... The Vines - Ms. Jackson
Original by OutKast
I didn't think I'd end up with this many!
The only bad one I can think of is Razorlight's cover of 'Hey Ya!' by OutKast, it just sounds so messy and is really dull in general. They also used a gospel choir but it didn't add anything, just made it sound worse :/