My sister has watched some anime (few episodes here and there). She thought it was interesting. But never picked up on the hobby. She would just watch anime sometimes when I was watching it.
My dad doesn't probably even know what anime is...completely indifferent or oblivious to the fact that I watch anime. He bought me some anime dvds for Christmas a few years back (per my request) but he probably just saw them as DVDs.
My mom knows I watch anime. One day she made a comment that "the dialogue to this show is terrible..." I was watching Slayers (the 3rd season where the story degenerated into garbarge). Ever since then I put on my headphones if I am watching anime and one of my family members is in the room or I watch anime when no one is around.