Looking for recommendations on good bizarro fiction (weird) video games. PS4, PS2, or Steam

Yes, weird fiction is an actual genre, arguably it doesn't just apply to books. Here's the link to the definition:

https://en.wikipedia.org/wiki/Bizarro_fiction

I want some truly weird sh*t. Doesn't matter what game genre.

Planning as well to sell all of my physical "normal" games for my PS4 that don't qualify.

Bizarro games I already know about:

- Giraffe Town

- Killer 7

- Mr Mosquito

- The Wardrobe

- Octodad

- Horizon Zero Dawn (I already have it)

- Katamari Demacy

- Warioware

- Halo 2. Because Sexy Arbiter o3o

Now, my loyal Jamal Worthingholes, find me weird games for the aforementioned consoles.

"Buttplugs are imp-like devices you can use as grenades in any cyberpunk games. Just take the plug out of the creature's booty and voila, carpet bomb!"

- Rick Dekker, Blade Runner

@sanghelle56: From that list the one that stands out is Katamari Damashī

Not just a crazy game with dancing pandas, it's also a personal favorite of mine. An extremely well crafted game, great replay-value, and a fantastic ost.

*Note of warning/ concern about Katamari Damashī, it uses a timer system some find very stressful during play. If you don't like timers in games it may not be a good pick.