What are all the moves that prevent fleeing/switching?

Question

Is Wrap included?

Oh yes,abilities and other causes are gladly accepted to be listed.Thank you very much. :)

Answer 1

Updated Answer as of Gen 9:

Note: Pokemon holding the item Shed Shell are immune to the effect of trapping moves and abilities. Ghost-types starting in Gen 6 are immune to the effects of trapping moves and abilities.

Binding Moves

These are the moves that make a Pokemon take chip damage from the binding move. These are the following binding moves:

Bind
Clamp
Fire Spin
G-Max Centiferno
G-Max Sandblast
Infestation
Magma Storm
Sand Tomb
Snap Trap
Thunder Cage
Whirlpool
Wrap

Source

Trapping Moves

These moves that trap Pokemon don't deal the chip damage like the binding moves do:

Anchor Shot
Block
Fairy Lock
G-Max Terror
Ingrain
Jaw Lock
Mean Look
No Retreat
Octolock
Shadow Hold
Spider Web
Spirit Shackle
Thousand Waves

Source

Trapping Abilities

These Abilities trap Pokemon if they aren't immune to it:

Arena Trap: Traps grounded Pokemon. Flying-types, Ghost-types (Gen 6 onwards), Pokemon with the Ability Levitate, Pokemon holding Air Balloon, and Pokemon affected by Magnet Rise or Telekinesis don't get affected by Arena Trap.

Magnet Pull: Traps Steel-types that aren't a Ghost type as well (Gen 6 onwards).

Shadow Tag: Traps all Pokemon as long as they aren't a Ghost-type (Gen 6 onwards) or have the Ability Shadow Tag. (Gen 4 onwards)

Source

Pokemon who have the Ability Suction Cups can't be forced to switch out or flee.

Comments

It might be worth mentioning that ghost Pokemon and Pokemon holding a shed shell can't be trapped by anything.

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Added that in, thanks!

Answer 2

These are the moves that prevent fleeing and switching:
Bind
Block
Clamp
Fairy Lock
Fire Spin
Infestation
Magma Storm
Mean Look
Sand Tomb
Spider Web
Whirlpool
Wrap

These are the abilites which prevent exit from battle,but some conditions have to be met before they can activate.They are:
If the opponent is of the Steel-type, Pokémon with the Magnet Pull ability prevent them from exiting battle
If the opponent isn't of the Flying-type or doesn't have the Levitate ability, Pokémon with the Arena Trap ability prevent them from exiting battle
If the opponent doesn't also have this ability and isn't a Ghost-type, Pokémon with the Shadow Tag ability prevent all opposing Pokémon from exiting battle
If the Pokémon has the Suction Cups ability, the Pokémon cannot be forced from battle

Source:Serebii.

Answer 3

Trapping Moves:

Mean Look
Block
Spider Web

Partially Trapping Moves:

Infestation
Bind
Fire Spin
Clamp
Magma Storm
Sand Tomb
Whirlpool
Wrap

Trapping Abilities:

Shadow Tag
Magnet Pull (only traps Steel types)
Arena Trap