Pre-image attack on MD5 hash
The only published faster-than-brute-force preimage attack I can find is this one from 2009 by Yu Sasaki and Kazumaro Aoki.

From their abstract:


  This attack, with a complexity of $2^{116.9}$, generates a pseudo-preimage
  of MD5 and, with a complexity of $2^{123.4}$, generates a preimage of MD5.
  The memory complexity of the attack is $2^{45}\times 11$ words.


In short, this is not practical at all.