I am a huge fan of tag team wrestling. All different sorts of teams appeal to me for entirely diverse reasons. For practical purposes - such as shortening the list to something manageable - I'll limit this to WWE:
Legion of Doom, The Rockers, The Funks, Dudley Boyz, London & Kendrick, Edge & Christian, The British Bulldogs, The Fabulous Rougeau Brothers, Hart Foundation, Steiner Brothers, Hardy Boyz, Money Inc, The Bushwackers...you know, I should just stop. Otherwise, I'll end up listing half the teams.