New Flash Player? No not really.

A couple of people have noticed that there appears to be a new version of the Flash Player (6.0.50.0). However, this version only includes the debug, standalone and External (test movie) players.

There is a technote listing the currently player versions which you can read here. From the technote:

Builds 6,0,47,0 and 6,0,50,0 are functionally identical.

I hope that clears things up.