The list of switch moves:
U-turn (Bug type, Physical, 70 Base Power, 100% accuracy, 20-32 PP)
Volt Switch (Electric type, Special, 70 Base Power, 100% accuracy, 20-32 PP)
Parting Shot (Dark type, Status, lowers Atk and SpA then switches out, 100% accuracy, 20-32 PP)
Teleport (Psychic type, Status, switches the user out without dealing damage but has -6 priority, 20-32 PP)
Flip Turn (Water type, Physical, 60 Base Power, 100% accuracy, 20-32 PP)
Baton Pass (Normal type, Status, switches the user out and passes things affecting the Passer like Substitute and stat changes, 40-64 PP)
U-turn is most popular competitively because it isn't blocked by anything (unlike Volt Switch and Flip Turn which are blocked by Ground types, Lightning Rod, Water Absorb, and Storm Drain) and because a lot of good Pokemon get it (unlike Parting Shot). Teleport isn't as widely-distributed as U-turn (and even Volt Switch) is, but it is probably the best switching move because it has -6 priority and cannot be blocked by anything outside of Taunt. It also has several great abusers including Slowbro, Clefable (who also has Wish), Blissey (has Wish too but TP and Wish are incompatible on the same set), and Slowking.
In addition, the following moves switch the target out:
- Dragon Tail
- Circle Throw
I know you asked for moves, but I decided to add some more things
If a Pokemon with the ability Emergency Exit or Wimp Out's HP drops to below 50%, they will switch out.
If a Pokemon holding the Eject Button is hit by an attacking move, they will be switched out.
If a Pokemon holding the Eject Pack has their stats lowered, they will be switched out.
If a Pokemon holding the Red Card gets hit by an attack move, the Pokemon who attacked it will be switched out.