One step further: Choose characteristics about yourself that you want to emphasize. Perhaps you want to be know as dilligent and detail oriented, or a fast mover, or a creative person. Then craft many stories about those points and have them in reserve. Chances are someone will ask a question that lets you bring up those qualities.
I try to mention that I started by making games as a kid. That seems to resonate with a large number of interviewers. Then we can talk about something fun like Monte Carlo effect for calculating which part of a grid has civilization, or procedural story generation.
