If you're familiar with Fireboy and Watergirl, that's a relatively famous co-op game to speedrun which requires pretty active involvement from both players. https://www.speedrun.com/faw Most LEGO games have categories more easily done with two players.
I'll also plug the co-op categories for this game https://www.speedrun.com/pttr because they're not too competitive at the moment ;)
This spreadsheet here has most of the co-op games on the site: https://docs.google.com/spreadsheets/d/1jPGrHCZhOfoHawPOlnYE4sW4iFUi7V8o/edit?usp=sharing&ouid=108634901692182253505&rtpof=true&sd=true
I suggest sorting by platform or player count for the easiest search of co-op games.
The Spreadsheet has Missing Info so it's not the complete list of Co-op Categories!