Recently I came across a beautiful notebook by Peter Norvig about Probability Paradoxes. It was done in Python and I decided to see if I could convert it to Julia. It was such a satisfying exercise and really showed the power of Julia multiple dispatch and its elegance. There were naturally fewer library imports and in my mind the code is more readable. Also the it was interesting to contrast Python's mode of OO vs. Julia's. The Julia code was only slightly more verbose, but it seemed clearer to me.
You could check out my Julia translation at http://nbviewer.ipython.org/gist/mbeltagy/3ba5f77da6382da192c3 and contrast it with the original at http://nbviewer.ipython.org/url/norvig.com/ipython/Probability.ipynb