An “experimental” gameplay is not necessarily outlandish, genre-defining or genre-defying (e.g. Katamari).
A lot of developers created innovative games starting from an establish gameplay or genre. This is often referred as “adding a twist” but sometimes a relatively simple twist completely transforms the entire experience.
Here are some notable examples roughly following the templates you researched.
What are the twists and what are the effects on the “traditional” gameplay?
Super Crate Box
Aside of narrative/exploration games
Museum of Simulation Technology
Lovers in a dangerous spacetime
Pixel junk shooter
3rd person platformer action/adventure
Tiny & Big in Grandpa’s leftovers
Exo One (not out yet)
Hack ‘n’ Slash
Crypt of the NecroDancer
My summer car