The thing that drives me crazy about movie Mystique is I LIKE Mystique as one of my favorite characters... in the comics.
And none of the traits that I love about her in the comics are anywhere in the film, except her blue skin and shapeshifting ability (to be fair, that's par for the course for the X-men franchise).
In the comics, she's a deeply complex and damaged woman who has lived centuries under assumed aliases before finding love with another woman and disguising herself as a man. This woman also had the gift of prophecy to foretell great calamity and Mystique spent decades trying to prevent the future her lover predicted.
She's the mother of Nightcrawler, with whom her relationship is highly disturbed and corrupted. She always acts to save herself, and discarding her own baby to save her own skin is something that both haunts her yet she justifies to herself time and again.
She's the foster-mother of Rogue, and does care deeply for her surrogate daughter, even allowing her to join her adversaries if that's her ultimate wish and looking out for her time and again despite their clear differences of opinion (while, again, often taking measures against her to save her own skin if need be).
She's a villain in the comics straight-up, but one with enough baggage, ambiguity, and bigotry levied against her to somewhat justify it, along with her own glimpses into the future from Destiny to know that altruism alone won't win the war of genocide against her people.
She's SO interesting in the comics... and so DULL in the recent films.