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.
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•Fairy Lock•Block•Mean Look•Shadow Hold•Spider Web
•Bind•Clamp•Wrap•Fire Spin•Whirlpool•Magma Storm•Sand Tomb•Wrap•Infestation
Source:Thisandthis.
Hope I helped! =^-^=
Here is all the partial trapping moves:
BindClampFire spinInfestationMagma StormSand TombWhirlpoolWrap
Block and mean look is not partial trapping moves.
Source.
BindClampFirespinSand TombWhirlpoolMagma StormInfestationWrapSpider WebBlockShadow HoldFairy LockMean Look