In an interview with TIFF Jennifer Lawrence said she wouldn't mind being known as Katniss Everdeen forever.
Did the Hunger Games mean a change in the roles you’ve been offered?
I didn’t really have any career expectations. I know that seems weird, but I’ve always been incredibly lucky, in that, the one script I read, that I fall in love with and I’m like, ‘I have to make this movie!’ or ‘I have to work with this director!’ — I’ve done it.
So that was such a rare, incredibly lucky thing that’s happened to me, that I wasn’t pining after these imaginary roles that I thought Hunger Games would satisfy. It was actually the opposite — I was afraid this one character would overpower the rest of my characters. But I genuinely liked the books and the movie and that character, and I wouldn’t be embarrassed to be known as that character for the rest of my life. Well, obviously, not only that character.
Source: Hggirlonfire.com