It obviously dosen't represent all Indie but I see most Indie today as being either too miminalist (Sebadoh) or way too experimental for its own good (Animal Collective) or just plain unbearable crap (Deerhoof).
But I do like my share of indie. I have albums by Sonic Youth, Flaming Lips, Pixies, Slint, PJ Harvey, Wilco, My Bloody Valentine, Yo La Tengo, GoRABpeed You!!! Black Emperor, Pavement, Dinosaur Jr, My Morning Jacket, Arcade Fire, Elliott Smith, Neutral Milk Hotel, The Black Keys, Rilo Kiley, The Jesus Lizard and others.
Most of these artists are very progressive and inventive with their music. I know that being a prog fan I will sometimes be stereotyped as someone who only cares about the technical skill of the musicians, which sucks.