I have a 1987 supra that has no tail lights. It has brake lights, and blinkers. I have changed the fuse and the bulbs.Help is there anything that can be done to fix this and how

Right side rear trunk... there is a "Light Bulb Failure Sensor" and that has most likely failed.

You'll either have to replace it with a new part from Toyota, or take it apart and repair the cold solder joints yourself on the circuit board.

I would not recommend going to a junkyard for this part.

This is a common point of failure for lots of Toyotas, not just Supras.

MKIV.com and I think Supras.com has articles on how to repair this sensor yourself. It shouldn't take you more than 1-2 hours to fix this for free if you have any soldering experience.