I think: Psychic, Confusion, Tackle and Karate Chop.
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Wobbuffet cannot learn any TMs or HMs. The only moves it can know are it's own moves, Wynauts moves, Wynaut's eggmoves, counter, and safeguard from the move tutor in fallarbor for a heartscale.
Wobbuffet is unable to learn any HM/TM except the breeding moves taught to Wynaut, Counter, and Safeguardfrom the Move tutor for one heart scale in Fallarbor
Shadow Tag isn't a move it's an ability.
Shadow Tag is Wobbuffets ability and the only one it can use. Prior to the inclusion of hidden abilities Shadow Tag was the signature ability of Wobbuffet and it's pre-evolution Wynaut.
it can learn Grass and Psychic moves