For certain weather teams, you have choices on which weather inducer to use.
Sand: Tyranitar, Hippopotas, Hippowdon
Rain: Politoed
Sun: Ninetales, Vulpix
Hail: Abomasnow, Snover
Trick Room teams should have 2 Pokemon with Trick Room, 2 Fast Dragons (Latios, Latias, Hydreigon), and 2 <30 speed sweepers. It is recommended to have one of the Trick Room Pokemon be Cresselia, as it is very bulky and annoying to take down. It can also learn Light Screen/the other move like Light Screen, which are very powerful in Doubles. A great moveset to use for Cresselia is Light Screen/Trick Room/Hidden Power [Fire]/Psychic.