I can't help myself,
Yeah Yeah Yeahs are my favourite Indie band!
Their first album (Fever to Tell) is very garage rock, the second (Show Your Bones) is more acoustic (and my favourite) and their third (It's Blitz) is more electro-punk-pop-rock
, but a great album nonetheless.
Gold Lion is one of my faves:
http://www.youtube.com/watch?v=dewzOxQ52kg
Metric are very good too, though i've only heard their latest album:
http://www.youtube.com/watch?v=BEz8N8AT-yo
There are heaps of great British Bands like
Kasabian (latest album is a bit electro too though),
Arctic Monkeys,
Franz Ferdinand,
The Last Shadow Puppets
Late 70's Punk Rock Bands like
Siouxsie & the Banshees and
Iggy Pop are awesome.
Silversun Pickups and
The Kills are good bands too but I don't like them as much as the others.
Oh, and
Thrice! They do everything from hard rock to alt rock... Vheissu is a great album and Music Box is a pretty cool song, it uses a sample of a Japanese lullaby called Sakura:
http://www.youtube.com/watch?v=9eBA7fWS8Yw
Hope I helped and you like at least a few of the suggestions.
EDIT: I can't list all these bands without representing my wonderful Australia!
Wolfmother - Joker & the Thief
http://www.youtube.com/watch?v=YKjV_bWnFCM,
Eskimo Joe - Their song foreign land is cool:
http://www.youtube.com/watch?v=0wypweAD2d4 and
JET, took a great riff from Iggy Pop to make this song:
http://www.youtube.com/watch?v=mAxUIjJrFKQ