7) Artemis
You watched Star Trek, right? Remember how complicated it made space travel look? How it needed someone at all times to be taking care of a specific role and constantly informing the captain of new information? Artemis is that. It's a spaceship bridge simulator and possibly the best filled-room co-op experience you can have.
You ideally need enough people to occupy every role along with a computer to run it hooked up to a LAN connection. The jobs includes things like communications, engineering, piloting and even someone without a monitor acting as Captain. The captain doesn't have active involvement in any task, but is responsible for issuing the orders to the rest of the crew (main screen to tactical view! convert full power to engines!). Without a competent captain it's a chaos of conflicting ideas.
Each role is difficult, but in a way that assures you'll find people more catered to one than the other. You really do build up personal skills in this game to the point where you might be a shotshot pilot or a genius systems engineer, or you could be terrible at everything except bossing people around.
It's likely you've never heard of Artemis. It isn't a particularly well publicised game, despite currently going through the greenlight process it's already available fully featured right now on the developer's website. The best part? A licence works on the honour system, so you're able to buy a copy and share it with your friends in the room.