Yeah, one of the friends has suggested Pandemic in the past, so when I heard Forbidden Desert was kinda similar, I thought I'd pick it up to try. I'm definitely curious about Pandemic!
For other co-op games out there, you might want to look up Flash Point: Fire Rescue, Dead Men Tell No Tales, 5-Minute Dungeon, and Zombicide.
Flash Point has you take on the roles of a crew of firefighters trying to rescue people in a burning building before it collapses. How characters move around and such is similar to the Forbidden games, but requires quite a bit more coordination between players. Dead Men Tell No Tales is of a similar vein, but in this one, you're pirates raiding a cursed ship for treasure.
5-Minuute Dungeon's a pretty quick co-op game. As the title suggests, rounds only take 5 minutes to play. How it works is that players have to quickly play cards to defeat a deck of monsters, but as everyone's playing at the same time and the clock is ticking, they have to communicate well enough that they don't waste too many cards and lose the game.
Zombicide (and its various spinoffs and expansions) is the most expensive one out of the list, but it's also got the most replayability. It's a zombie survival RPG where players play as a team of survivors,trying to complete various objectives while also dealing with the ever-growing zombie horde. As everything's modular and scenario-based, there are tons of different setups and levels of difficulties to try out, especially with the expansions added to the mix.
Also, if you get tired of pure co-op, there are some great semi-co-op games out there like Saboteur or Total Rickall, where while the game itself is a co-op one, 1 or more players may be a traitor with completely different goals in mind.