Personally I like a lot of ASOIAF names (book, I know, but to be fair it has been made a television show, so I'm gonna mention it anyway), but I wouldn't name my son Viserys because Viserys Targaryen was a prick, and I wouldn't want my son to be associated with him (even though Viserys is a gorgeous name). Same goes for Joffrey.
Names of super annoying characters aside - unless you name your kid Regina Phalange, Princess Consuela Banana Hammock or something really ridiculous that easily can be traced to the tv show/film, I don't see the problem.
I may be wrong, but I believe there's a movie called Amelia which is about Amelia Earhart.
It really depends on the name, the popularity of the show and the namesake.
One of my favorite names is Ziva. I first heard it on NCIS, and fell in love with it. I'm still hesitant about using it, though, because although I love the character, it's so tied to the show. But in ten years, if I actually decide to use it, then most likely only people from my generation and older will get the reference.
Azula is one of my GP names. I could never use it, because I all think of is a psychopathic princess who is crazed with the desire for power. And just about everyone my age will see the same thing.