OK so I decided to use the colour ramp method from Experiment 2 and put together a simple scene with a marble textured planet.
The rings are actually made from a single disc, it’s the colour ramp texture that makes it appear as multiple rings. Colour ramps allow you to specify transparent areas so I’ve just got a single ring with some transparent areas on it.
I then followed Reaping Fire’s YouTube tutorial on making a star field.
Here’s the result of my Making Planetary Rings In Blender Experiment 3: