Thats a bit of a doosy.
Not sure if its included on the Universal Century or not. But in the Gundam Wing series, there were three.
Leo- Basic design, used by both sides.
Aries-designed for space flight. Could transfrom between vehicle and gundam.
Taurus- one of the first to use the mobile doll system
Cancer- Designed after a crab. Acted like a sub and then could transform into its gundam mode.
Pisces- also designed for underwater use. and also could transform from vehicle mode to gundam mode.
Virgo- mobile doll system created using technology from both the Vayatte and Marcurious suits.