fully cooperative: Hanabi, The Crew, The Captain Is Dead, Pandemic
partially cooperative: Red November, Betrayal at House on the Hill (original and Legacy), Dead of Winter, Gloomhaven
competitive [...] strongly mutually beneficial deals: Catan, Diplomacy, 18XX (and almost any other game where players own stock in each other’s positions)
competitive [...] placement in each round matters: Power Grid, 18XX,
competitive [...] not usually permanent alliances are critical to victory: Diplomacy, Twilight Imperium (all of them), Cosmic Encounter
These are just the ones I’ve played in recent memory. I’d wager I can name 20 games in each category, with some overlap like above, with more time to think and research.
2 votes
Overall karma indicates overall quality.
0 votes
Agreement karma indicates agreement, separate from overall quality.
When characters pick up gold and items, they can’t be shared, so there’s sometimes a race to get them, and players might not work for the benefit of the whole party at that point.
Every session/scenario/map, each character gets a secret goal with a small character progression bonus for achieving it, and pursuing those often requires making one to a few selfish choices.
Also for the lifetime of a character there’s one secret goal, which again inspires some selfish choices on a longer timeline.