Whoever claimed that three is one too many, clearly hasn't played these 3 Player Games at Silvergames.com. Instead of a lazy duel you can have a full-blown Mexican Standoff, instead of a simple duet you can dive into real team play.
There's a reason people say that good things always come in threes: the number of musketeers, bible-based family planning (Father, Son, Holy Spirit) and of course the number of men you need to take a care of a baby. Multiplayer games in a small group invariably gain in intensity and competition, when the leader is not that far away from last place.
So if you want to huddle around your keyboard, as you did in the early days of PC gaming, will find these 3 Player Games the right place to start. For free and without registration, of course.