Alakazam’s moves depend on the game, but in Pokémon GO it can learn these common moves: Confusion , Psycho Cut , Future Sight , Psychic , Shadow Ball , and Dazzling Gleam. It has also had event/legacy options like Counter in some special cases.

Move groups

  • Fast moves: Confusion, Psycho Cut.
  • Charged moves: Future Sight, Psychic, Shadow Ball, Dazzling Gleam.
  • Special legacy/event move: Counter.

Important note

If you meant a different game, the move list changes a lot by title and generation, so the exact answer depends on whether you mean the main series, Pokémon GO, or another spin-off. The source I found was a Pokémon GO guide and a general Alakazam guide, not a full main-series learnset.

[1][10] [10][1] [13]
Move type Moves found
Fast Confusion, Psycho Cut
Charged Future Sight, Psychic, Shadow Ball, Dazzling Gleam
Event/legacy Counter
TL;DR: in Pokémon GO, Alakazam’s main moves are Confusion, Psycho Cut, Future Sight, Psychic, Shadow Ball, and Dazzling Gleam, with Counter appearing as a special legacy move.