I have acquired two pieces of Icelandic Spar (optical calcite) with surface and internal fractures that should be serviceable as sunstones.
I have observed the double refraction and cancelling double refraction, a rainbow effect, and varying intensity of stuff. I stood myself in the shadow and looked through the stones (one at a time) at the sky. I observed several effects including the second image rotating around the primary, but everything seems to track with the rotation of the stone rather than the position of the sun.
I tried but failed to observe polarization cancellation from opposed polarizing plates. I was expecting this to be the answer but could not observe this effect.