If your answer was an unfinished project, I'd want to know why they were unfinished. Did you give up on them because of external pressures, you had a better idea, or because you often struggle to finish things you've started?
That last one is not alway a pejorative statement, BTW. Some people are great at figuring out the big stuff and then need others to help them execute on the detail (think about architects or producers). Others however, just give up at the first obstacle they meet, and if I get that impression from a candidate I'd want to dig into it a bit as it's possibly a yellow flag.
My advice then: think carefully about what they are likely to ask you about those unfinished projects, and what your answers are likely to be, before you offer them up.
[1] The most interesting answer to this question I've had was "an OpenGL renderer for the X Window System written in Lisp". My follow-up questions were many...