Mattel's Flash Gordon (1980, LED, 9 Volt, Model# 1771)
This game was never released to my knowledge. The copyright on this page is 1980, which is well after the release of Battlestar Galactica. Possibly the B.G. TV show was going off the air and Mattel was looking for a better marketing license. It does have a unique model#, but I've never actually seen one.
Do I have this? No.