Fame
There have been some famous surgeons, but they don't achieve that renown for performing the most surgeries in a day or making the longest incision. This isn't really a "stats" game.
However, you can become known for either performing a surgery that is the first of its kind (such as the Heart-Brain Switcheroo Method, for which we at Shmoop are currently attempting to obtain a patent), or for being responsible for some other type of surgical advancement, such as the invention of the first combination retractor-and-iPod (also waiting for word from the Patent Office on this one).