Depending on what type of indie rock. It's pretty much an umbrella term, and many "indie" bands may contradict each other in style and substance. Blur is my absolute favorite, though - nowadays it's way too often overlooked as "bunch of kids who screamed "WOOHOO" while smashing against walls in the 90s" (i.e. "Song 2"), but it was an incredibly versatile and ingenious band that not only jumped from one genre to another, but also did it well, masterfully bridging the gap between "experimental" and "accessible", and having a distinctive style to it. The only other band I can think of that also fluidly combined weirdness and pop appeal into one is Gorillaz, which is for the most part a project of Blur's frontman (in which he voiced 2D - you may notice that lyrics in both Blur and Gorillaz are sung by the same dude, if you listen closely)
If by "indie" one means "independently released and distributed," that actually described the vast majority of what I listen to in general. That said, "indie rock" tends to mean more specific things much of the time: Weedy twee-pop with noise-rock elements that came into vogue after post-punk died down in the UK, and a whole plethora of loosely related styles that came into their own out of the underground in the wake of grunge in the US. I like a fair bit of both, although I tend to view each more as a part of the styles which they participated in than as indie bands, if that makes any sense. For instance, Modest Mouse and Built to Spill feel more like unusually understated and playful post-hardcore bands of a certain stripe than they feel like Arcade Fire, who are more like this oddball hybrid of post-punk revivalism and baroque folk-pop with some Springsteen-esque arena rock tendencies.