Yes, the Turn button was nonexistent after pressing the Done button. This screen showed up when I asked ANY ship to move, even 1 square.
If I had to guess there was probably some problem calculating your Area of Influence. That would explain why this would occur anytime *any* ship was moved. Also if the game could not calculate your Area of Influence then it could never finish calculating the path back to your AOI thus the loss of the End Turn button.
It might have been marginally interesting to load the task manager and see what percentage of processing time the galciv2.exe process was taking. I assume that it would be the bulk of the time.
Haven't seen this thing happen again... Just a random glitch, I suppose
Any sufficiently advanced technology is indistinguishable from magic. There are endless infinities of error conditions that have been corrected by simply pulling the power cord.