Not exactly Private, but great video of a FW190
 

Not exactly 'private' but I thought it might be of interest here:

"On September 29th 2004, a beautiful autumn day at Manching AFB, the Flugwerk FW 190 took off from the northern runway for its official press flight. After the first hop on June, 22nd and another flight earlier that week this has been the third flight by chief test pilot Horst Philipp."

http://www.flying-wings.com/special/...0/04_fw190.htm

Video: http://www.avpics.de/lffamp/fw190flug3.wmv