I have a vague memory of owning a mug exactly like this 8 years ago except it was Star Trek.
First off, the colors are definitely Starfleet. You’ve got the red, blue, and yellow, and I think the light blue matches up with Deanna Troi’s uniform. Also, the background patterns feel kind of Trek but not very Golden Girls. I kinda wonder if these were done up by the same design place or something.
Nothing more to say about this, it’s just kind of interesting to think about.