True, I have Scheme, Racket, and Clojure installed on my machine. I tried to get started, but I couldn't think of any simple projects that would accentuate the "uniqueness" of Lisp dialects.
Maybe I'll pick it up again after my love affair with Go dries up.
at one point you write a small evaluator, then extend it through macros. Shows you how to get the linguistic trait you'd like in a few lines. One thing lisp has been used to demonstrate since its birth.
Not sure if games interest you, but "Realm of Racket" is a fun read to get into Racket with. I mostly got into the rest of Lisp because I liked Racket.
Does it have to be unique? A small project that you use now and then that needs an upgrade would probably benefit from being written in lisp (in some manner).