Recently there has been discussion of a male version of this trope, the Manic Pixie Dream Boy or Manic Pixie Dream Guy. Augustus Waters from the film version of The Fault in Our Stars (2014) was given this title in a 2014 Vulture article, in which Matt Patches stated, "he's a bad boy, he's a sweetheart, he's a dumb jock, he's a nerd, he's a philosopher, he's a poet, he's a victim, he's a survivor, he's everything everyone wants in their lives, and he's a fallacious notion of what we can actually have in our lives."

Answer this question: what is the male version of a manic pixie dream girl? Let's give stream of consciousness first:
The relevant information is: Recently there has been discussion of a male version of this trope, the Manic Pixie Dream Boy or Manic Pixie Dream Guy.
So, the final answer is the Manic Pixie Dream Boy or Manic Pixie Dream Guy.