There are lots and lots of co-op games. The former top 1 on bgg, Gloomhaven, is a co-op dungeon crawling rpg in a box.
If you prefer kicking some eldritch asses together there are all the Eldritch Horror, Arkham Horror, Mansions of Madness and Elder Sign, where you and your loved ones can go (globe/city/mansion)-trotting to beat some abominations and save the day. And if you like this cthulhu theme and card games, there is the wonderful Arkham Horror CCG which is basically the same premise, but now with deck-building and more in-depth stories.
Another incredible one is Dead of Winter where you and your friends simulate being the last humans in a colony surrounded by zombies. It can be full co-op, but the best thing of DoW is it's hidden traitor mechanic, where someone can be working for their own goals instead of the colony.
If you like simple rules and lots of surprises I recommend Betrayal at House on the Hill which starts co-op and after the haunt of the house is revealed anything can happen. The game starts simple and ok and goes on a crescendo of twists and turns that leaves you wanting more.
And finally if you just want to sit around with people on the table and solve something together like a puzzle, I lived Sherlock Holmes Consulting Detective. A game where you and your fellows are the street boys of Baker Street helping (and in this case competing against) Sherlock to solve mysteries. It has basically no rules and everyone work together to solve the mystery as fast as possible.
OC Cooperative games that are newbie friendly
Hi, i like coop games because I like working together and don't enjoy competitive games....