There are types of screw jacks: machine/worm gear screw jacks, ball screw jacks. Within these, there are 3 subcategories related to the mode of operation: Translating, Keyed, and Rotating/Traveling nut. The type are given below
machine/worm gear screw jacks and ball screw jacks
Translating screw jack
Keyed screw jack
Rotating/Traveling nut screw jack