I have perfect pitch, and there is one pretty big thing that I don't like about it.
In solfege, if a passage is given in G major, and I have to sing up to a G above middle C (I'm a guy, in case my name didn't give it away haha), I will either strain my voice or sound like a woman. Any other person in my class can just take a lower starting pitch (like E or Eb) and sing the same melody, ignoring what 'G' is actually supposed to sound like. This 'movable do' concept I understand, but the actual sound of what 'G' is is completely wired in my brain, so I can't just move a G major melody down to Eb and make it sound good.
Other than that, I destroy any dictation test thrown at me, and I can usually repeat what someone was just playing without seeing their hands.