I didn't see any questions that listed them all out. There may be some I've forgotten. The only ones that come to my mind are Block, Mean Look, Infestation, Bind, and Wrap.
•Fairy Lock •Block •Mean Look •Shadow Hold •Spider Web
•Bind •Clamp •Wrap •Fire Spin •Whirlpool •Magma Storm •Sand Tomb •Wrap •Infestation
Source: This and this.
Hope I helped! =^-^=
Here is all the partial trapping moves:
Bind Clamp Fire spin Infestation Magma Storm Sand Tomb Whirlpool Wrap
Block and mean look is not partial trapping moves.
Source.
Bind Clamp Firespin Sand Tomb Whirlpool Magma Storm Infestation Wrap Spider Web Block Shadow Hold Fairy Lock Mean Look
