Update
This is gonna be a longer update because I have completed 7 more games since my last update.
Shiftlings: I played this with @Arcesius and first thing, finally a game that properly tracks all progress while playing COOP. Usually we encounter some issues when playing COOP games, be it progress not tracking correctly, trophies only popping for the host, etc.
You play as 2 alien-like creatures that are tied together via a cord. One alien is always small, can jump, can go through tight spaces, can interact with levers, jump cannons, while the other alien is always huge, can pull the small alien with it, can stand on buttons to activate them and act as a trampoline for the small alien. With a simple button press the roles can be changed on the spot, often necessary to progress the level.
The game has 5 worlds, each with 10 levels. Each level has 3 collectibles that often require some going out of your way. Each world introduces new mechanics while carrying over previous ones.
I enjoyed World 1-3, World 4 and 5 just started to piss me off. The game has platforming sections, while not getting it right what makes a good platformer. The hitboxes for the fat alien are atrocious, often getting killed by electrified gates without even touching them. The switching between big and small alien can be done by both players often resulting in confusing situations; I guess that's the point, be better at communicating but I often found myself annoyed. I prefer COOP games where I can still control my own actions and not be influenced by every single input someone else does, if that makes sense.
Trophy-wise. Play the game once while getting all collectibles, do some misc stuff, then speedrun each world individually. Each level can be completed seperately and a world has not be done in a single run. The times are very forgiving, often with 4-6 minutes to spare in a world.
Race The Sun: You control a solar-powered spaceship, dodging various objects on the way such as laser beams, other ships and other stationary obstacles, while gathering pick ups that can be used in game, all while the sun slowly sets on the horizon. The game ends either when you hit an object and the ship gets destroyed, or when the sun sets.
Downgrade the game to 1.00, use an exploit and basically get every trophy without any difficulties. Not much else to say here.
Laser Disco Defenders: A fun and short twin-stick shooter which main gimmick is that every bullet/laser you and enemies shoot stay in the level bouncing off from walls and posing an additional threat. You have to beat the story 4 times, once with each character. The characters only differ in movement speed and starting health. The slowest starts with the most hearts, while the fastest starts with only one heart, but every character can pick up hearts and get to 5 in a matter of a few levels so there is not a real downside to play the faster characters.
There are also 4 pick-ups with a one time use: A melee sword, very OP, a vortex that sucks in all lasers in your vicinity, a machine that allows shooting lasers for a short period that will disappear after the timer runs out and a slow-mo while aiming.
You also have equipment, 3 for head, 3 for torso, 3 for feet, each coming with different abilities but most are useless.
Story has 15 levels, all very short, with level 15 being the same boss fight for every character. There's also an endless mode.
If you like twin-stick shooter I'd recommend it when its on sale for 2 bucks.
Entwined: You control 2 entities, an orange fish with the left analog stick and a blue bird with the right analog stick. Each can only move around on their respective side. The goal is to collect power-ups to fill up the orange and blue bar while avoiding obstacles. When both bars are filled up you initiate a fusion sequence and need to avoid some more obstacles to make the fusion happen. After that you enter a small open area where you can fly around freely and collect some more power-ups without any dangers. Rinse and repeat 9 times.
Everything is very simple and easy however the challenge mode (endless mode) and its trophy asks you to unlock all 5 levels and the fourth one is pretty challenging, took me a couple hours to reach the point requirement.
Okay-ish game, was free with PS+ extra so can't complain.
Velocibox: You control a box in a kind of endless runner. The box can move left, right or switch to the opposite side you are moving on. Your goal is simple, avoid obstacles and collect 6 cubes to progress to the next level. There are 9 levels, with the last being a true endless runner. Your goal is to reach level 9 in ranked mode, meaning no-deaths allowed. Practice individual levels is possible in normal mode. While each level has fixed obstacle patterns, they are still randomized. That means sometimes tough luck and what feels like unfair deaths.
I was able to get consistent at 1-4, 5 and 6 were RNG hell and 7 I only reached a couple times before finishing it. 8 is a freebie where you can just move straight. Overall a run can be completed in roundabout 2 minutes. @Arcesius the perfect game for you.
Cosmophony: Oh, what a lovely and enjoyable game. You control a goddess heart though 5 levels avoiding obstacles and shooting triangles to the rhythm of Drum and Bass soundtracks. No RNG BS just gid gud and learn the patterns. Level 1-3 are fairly simple, 4 starts ramping up the difficulty and 5 goes nuts. After a couple hours and a good night sleep it was manageable and felt really good to complete. I'm hooked for more, probably gonna start Superbeat: Xonic soon. @Arcesius I highly recommend Cosmophony, though not sure if the music will piss you off.
My 5th level run: https://www.youtube.com/watch?v=v0-eUj9klR0
Not Not: A Brain Buster: Lastly, a puzzle game which demands quick thinking. You control a human on a cube, you can go in either of the 4 directions. The cube tells you where to go and you have a few seconds to react to the command. Starts off simple: Up, Down, Down, Right, etc. then it introduces Not Right, Not Left, etc. then colours, then coloured text like Yellow. It adds more and more variations.
There are three difficulties, Normal, Hard, Extreme and around 10 rows, each introducing a new variation. Normal requires 30 steps, Hard 40 and Extreme 50 and you have to do each without dying. Hard and Extreme add more confusion, so instead of Not Right, you get Not Not Right or Not Not Down and Not Up. Extreme adds another layer with Not Not Not and other shenanigans.
I was able to do every row except the last one without pause exploiting. The last row introduces The Liar, so whenever a cancel icon is on a command it is actually the opposite. So: Not Not Down would normally be Down but with the cancel icon it is actually Not Down. My brain was mush after a while.
Then there is challenge mode, you need to reach 200 steps without dying. My record was 120 without pausing. It introduces the variations from "story" mode one by one while progressing but also decreases the time you have to react the closer you get to 200. - Whoever manages 200 steps legit, you are indeed big brain.