  We investigate Polish doughnuts with a uniform constant specific angular
momentum distribution in the space-times of rotating boson stars. In such
space-times thick tori can exhibit unique features not present in Kerr
space-times. For instance, in the context of retrograde tori, they may possess
two centers connected or not by a cusp. Rotating boson stars also feature a
static ring, neither present in Kerr space-times. This static ring consists of
static orbits, where particles are at rest with respect to a zero angular
momentum observer at infinity. Here we show that the presence of a static ring
allows for an associated static surface of a retrograde thick torus, where
inside the static surface the fluid moves in prograde direction. We classify
the retrograde Polish doughnuts and present several specific examples.
