There are so many various titles in so many various genres that getting random recommendations isn't really guaranteed to give you something to talk about with this girl. Have you considered maybe asking her personally for recommendations? Then you'd get to read what series she keeps up on and that would make it easier to talk to her about them. Of course, you run the risk that she likes genres that you don't care for then. =P
....I love One Piece, so that'd have to be my recommendation. ^^;
....I love One Piece, so that'd have to be my recommendation. ^^;