Physical - Dragon, Ground, Fighting, Rock, Steel, Dark, Flying
Special - Fairy, Normal, Psychic, Electric, Ice, Water, Bug, Fire, Grass
Mixed - Mixed attackers are pretty rare, so I couldn't find any typing that has a tendancy to be mixed.
Please keep in mind that this is pretty general, and just based off of my own observations, and looking closely at the OU Viability Rankings. I couldn't find any other way to get this information, sadly.