I never do this before <some event>.
You are talking about possible situations or events. You would never perform some act before this event.
"I never exercise hard just before a big meal."
I never done this before - incorrect. It should be "I have (or I've) never done this before. You are about to do something now or could possible do it, or are doing it now, but you have never done it before.
"This is the first time I've gone on a cruise. I've never done this before"
"I never did this before" - actually, you would hear this in the same situations that you use "I've never done..." However, you would usually use this form after you have completed the act, rather than just before or during it.
"That was a fun flight. I never did that before. It was my first flight."