itch.io

Typically refers to a style of game where a player's ship can rotate 360 degrees on a 2d plane and is responsible for shooting and destroying on coming asteroids. The asteroids start out large, but divide into smaller obstacles as they are damaged. The game becomes more difficult and chaotic as asteroids are broken into the smaller pieces.

Pretty sure everything is indie on itch.io but just in case you want something extra indie.

Games where the primary goal is keeping the player character alive under harsh circumstances such as dwindling resources or a hostile environment.