I use a watch with a Miyota movement, which I just read up on. They supply to many watchmakers, and mine is unbranded, except for the Miyota brand on the movement , visible through the glass back.
p.s. My watch is branded with a previous employers name and is used for underground coal mines , as apparently , any battery type watch is not permitted. You may be able to source a similar watch at a business that supplies safety equipment to coal mines.