'Indie' is such a broad definition incorporating many offshoots of the post-punk era (Britpop, shoegaze, indie rock, lo-fi, etc) and nowadays seems to be some kind of umbrella term for anything with guitars in it that isn't metal...?
But I guess if I was forced at gunpoint to choose a few 'proper' indie groups off the top of my head:
There are so many denominations of 'indie' (lo-fi, shoegaze, indiepop/C86, indierock etc) that it's a bit difficult to pin down your faves without omitting plenty. That, and the fact that 'indie' these days seems to be an umbrella term encompassing any old **** with electric guitars that isn't metal...?
However if you held me at gunpoint I suppose I'd blurt out these youtube links: