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1.
n. (pronounced vaj-TA-stick, with the short A sound as in apple)

A journey that involves exploring the world of vaginas.

Also, a clever title for a porn film (as used in the film "Superbad")
ex 1) Dude, I'm going on a vagtastic voyage at the sorority tonight!

ex 2) Yo man, I just whacked off to Vagtastic Voyage
by whorebasket October 07, 2007
 
2.
When a male tucks his dick and sack between his legs making it appear as if he has a vagina.
Chase was curious as to what a vagina might look like so he embarked on a vagtastic voyage.
by TDEZ April 25, 2010