What is it that makes you want to look for and play indie games, specifically, as opposed to bigger-budget games?
For me, it is the simple fact that indies are still making the kinds of games that I want to play, and big publishers generally don’t. My most formative gaming years were in the late 1980s and early 1990s, and as an adult, my taste ultimately came back home and calcified around those years. Old-school action and roleplaying games are what I want, and indies are offering them. Big publishers rarely do, and when they do make an attempt, they fail as often as not. Even veteran designers from back in the day seem to have forgotten how to make games; the younger generations who grew up with the classics are doing a much better job of bringing them back.
I take personal offense at the sentiment I often encounter that “indie” is automatically synonymous with “avant-garde” or “experimental,” the implication being that the thousands of traditionalist indies (from unknown to wildly successful) aren’t even worthy of the definition. They deserve better than that.