Tom Clancy's Rainbow Six
First in the series of games about the Rainbow Six counter-terrorist unit All of them tactical shooters that focus on stealth and teamwork an all of them great fun to play cooperative multiplayer in. Before each mission you get a briefing where you can choose the operatives to use. Next is the planning phase where you can set-up paths and orders for the teams and finally you execute the mission and hope for the best. If all goes well a mission does not take to long but as the most common question in any Rainbow Six LAN event is 'did anyone see who killed us' a mission often takes a lot of practice.

For the story it is safe to ignore it, it's the same evil plot like in any other Tom Clancy book but without the 500 pages to get to the point.