Indie studios have produced a lot of games with varied mechanics that are just a huge breath of fresh air for me, personally.
You'd never see a AAA studio making Factorio or Satisfactory, for instance. Probably unlikely to see them make a game like Darkest Dungeon, or Don't Starve, or Stardew Valley or Terraria or Starbound or.. the list goes on. You just might have to look a bit deeper to dig through the roguelikes and platformers.
* 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.
Do we count mods? DotA and CS would be indie if so, but are now quite commercial.
e.g. Annapurna Interactive has been publishing AAA-quality titles from indie devs for a long time. And most of those games don't fall into the roguelike or platformer vertical.
But yeah, not many games between AAA and indie. :(
Lot of those studios between AAA and indie have closed or have been bought up, by Paradox, Microsoft, Tencent, Embracer/THQ Nordic...