My bro helped me come across this fan made series which takes place after GT. I have to admit that this is damn good work, I wish someone would do some Tenchi like this....
Anyway, here is the first episode..
http://www.youtube.com/v/ll_XPenKkqA
The second episode isn't out yet, but he's also released a fight scene sample from the next episode..
http://www.youtube.com/v/Iz-6X8lumTk
Didn't even know the second episode came out a few months ago
http://www.youtube.com/v/RPTN3T9IXGY