Aeon’s End is probably my favorite coop game, although I’m still not very good at it. It’s a deckbuilder, which is a genre I really like.
The Crew is a cooperative trick-taking game which is an absolute blast and fairly light. Both the original space one and the deep sea version are great.
On the grittier side, I think This War of Mine is worth playing at least once for the experience.
For board games, I’m a big fan of Wavelength, Decrypto, and No Thanks!, along with Codenames.
Wavelength is a game where you try to get your teammates to guess a position on a spectrum, like “cold” to “hot” by giving them a clue, like “ice” or “the surface of the sun”. Decrypto is a lot like Codenames, but you’re also trying to disguise your clues from the other team. No Thanks! is a light, quick game which centers around pushing your luck as much as possible.