* Puzzle (The Witness, Baba is You, Antichamber, Manifold Garden, ...)
* Survival/open-world (Minecraft, Terraria, Don't Starve, Subnautica, The Long Dark, ...)
* Horror (Amnesia, Outlast, Layers of Fear, Five Nights at Freddy's ...)
* Management/simulation (Factorio, Stardew Valley, Kerbal Space Program, ...)
* Metroidvanias (Cave Story, Hollow Knight, Ori and the Blind Forest, ...)
* "Walking simulators" (The Stanley Parable, Gone Home, Firewatch, ...)
Some of these maybe you'd disagree with (Are Metroidvanias just platformers? Can Minecraft still be put on a list of indie games?), but I personally think it's a crime to omit at least puzzle games and survival games. The offerings from the AAA space for those is not very impressive compared to the indie space.