On my desk is a $1USD bill. To the right of Mr Washington near the bottom of the bill, it says "SERIES 2003" indicating it was printed in the year 2003. Thus money can be created. As shown above, money can easily be destroyed. Energy, however, can be neither created nor destroyed; it can only be changed in form.
Another difference is inflation. [math]1_{2003}dollar<1_{1920}dollar[/math] whereas [math]1J_{2003}=1J_{1920}=1J_{\infty}[/math], where the subscript represents the year. Money loses value; energy does not.
And that's just off the top of my head.
I've seen no physics from you.