Idk about any big online ones but there are a ton of awesome coop games that reward(and require) collaboration.
Overcooked I think is the best example of this genre. Super simple gameplay mechanic basically 2 actions and move. But all the fun and complexity comes in from needing to work with other people.
There is a major distinction in my mind between that type of actual collaboration and many “co-op” games where you are basically just playing at the same time and usually actually competing for kills/points.