Move Relearner & Deleter - They can be found in the house north-east of the Pokémon Center in Dendemille Town. The woman is the Relearner, and the man is the Deleter.
Pledge Moves - A man can be found in the house east of the gym in Laverre Town. He will teach Water Pledge, Grass Pledge, and Fire Pledge to Water type, Grass type, and Fire type starters respectively.
Elemental Beams - In the house in the southwest part of Snowbelle City, there is a man that will teach Hydro Cannon, Frenzy Plant, and Blast Burn to Water type, Grass type, and Fire type starters respectively.
Mythical Moves - In the house above the Pokemon Center in Snowbelle City, there is a man who will teach Secret Sword and Relic Song to Keldeo and Meloetta, respectively.
Draco Meteor - In a house in the northeast part of Route 21 (Strength needed), there will be a man who will teach Draco Meteor to Dragon Pokemon.