Lots of answers in this thread would be too much for MMA neophytes, IMO.
Too much violence and blood will turn a lot of people off, so fights like Lawler MacDonald 2 or Jones v Shogun aren't great choices, despite being amazing fights.
I'd go with Pettis v Bendo 1. Great back and forth action on the feet and the ground, with high stakes (for the final WEC LW belt and, at the time, a shot at the UFC belt), finishing off with the one of the most spectacular kicks in MMA.