As the subject states, could anyone help?
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On collision with another object > Set animation to "animation-name" (play from beginning)
You basically had the answer in your question. ;)
I've had it like this, and it doesn't work. What I'm attempting to do is have the "Player_Box" collide with the "EYE_TRIGGER" and play the animation on the "EYE"
Hard to say without seeing what you have. Could be a misspelling in the animation name or you don't have the animation speed set properly or could be another animation conflict, etc. Otherwise, that is the proper way to set animations.