Name as many indie rock artists as you know and we'll make as definitive a list as possible. Good for completionist peeps wanting to listen to a metric ****ton of indie.

Overarching genres:

Indie Rock
80's Alternative
Indie Pop
Chamber Pop
Twee Pop
Post-Punk/Garage Rock Revival
Midwest Emo
Garage Rock (Burger Records-core and modern groups in this vein)
Post-Rock
Shoegaze
Math Rock
Post-Hardcore/Post-Punk (more on the "heavy indie" side a la Mewithoutyou, Bearvshark, Protomartyr, etc.)

Make your own judgement calls as well.

Arcade Fire, The National, Dinosaur Jr., Sleater-Kinney, The Strokes, NMH, Wilco, Pixies, Pavement, Arctic Monkeys, Jaguar Love, Beach House

[from the top of my head] Get Set Go, Brainiac, Archers Of Loaf, Lowercase, Bloodthirsty Butchers, Harvey Danger

Elvis Depressedly, American Music Club, Low, Cloud Nothings, Wild Nothing, The Obits, Nothing, Husker Du, Late Bloomer, Amanda X, Blur, Bomb the Music Industry, Bon Iver, The Antlers, Cougar Island, Ezra Furman, The Flaming Lips, I Was Afraid, Japandroids, Superchunk, Superheaven, Basement, Title Fight, Brand New, Citizen, Turnover, Transit, Jeff Rosenstock, Built to Spill, Jeff Rosenstock, The Mountain Goats, The Shins, The Special Goodness, Tigers Jaw, Balance and Composure. Ty Segall, The Libertines, Wavves, The Vaccines, The Thermals. Youth Group, Whatever Brains

Wax Fang

Interpol

Bloc Party

The Smiths?

The Smiths.

Don't forget the Smiths