Plants

Drosera glanduligera: Catapult-Flypaper Trap
Known as the pimpernel sundew, drosera glanduligera has sticky tentacles that snap inwards when stimulated.

The movement of the tentacles is as fast as 20ms.

See also: https://www.youtube.com/watch?v=mDSmtZFr0_0

Wikipedia entry: http://en.wikipedia.org/wiki/Drosera_glanduligera

Bladderwort: Insect Vacuum
Bladderworts are carniverous plants that have chambers that have trapdoors. When prey triggers the trap, it is sucked into the bladder via negative water pressure, and then the trapdoor closes, all within milliseconds.

Wikipedia entry: http://en.wikipedia.org/wiki/Utricularia