Both Double Dragon and Teenage Mutant Ninja Turtles have came out with a bunch of really good couch coop games lately.

3 sucked real bad. Cause woke. But Borderlands is still peak coop.

Of course Nintendo will still put out bangers for this from now until infinitum. Mario Wonder.

Wizard of Legend is sooo good but it's hard. So it'll depend on your couch and their flavor for that.

Probably my biggest couch coop recommendation (especially since you like Overcooked) is Plate Up. Up to four players cooperate to run a restaurant. Each day you earn money, which you can spend on randomly generated things like additional tables, sharp chef's knives, a mop, an oven, and so on. Every few days you will have to pick a complication, like adding another dish to the menu, or breaking the parties down into parties of one (so it's the same amount of guests using many more tables). The goal is to make it through fifteen days of service without a single dissatisfied guest, so it's like a restaurant roguelike. It's fantastic, and I recommend it highly.

I've only ever had issues with Bluetooth. As others said I use a wired connection (I even have a four-port USB on an extended cable, so it's like those old-school Mutli-Tap adapters for the Genesis/PSX), plug in all sorts of controllers; Switch, PS4, Xbox, and third-party controllers. Never had any issues except for using Nucleus for split-screen play on games with non-native split-screen.

Usually once you enable Steam input and re-order the controllers it should work fine, I also found that you sometimes have to restart Steam in Administrator Mode on Windows 10/11, otherwise you will run into some serious controller issues for a ton of games. But I just have Steam boot into Administrator Mode to bypass that problem.

I usually use a wireless dongle, but I've played split screen Rocket League on Steam with wired controllers just fine.