I must profess a general ignorance of problems that were once known to be true under GRH but has since became unconditional due to the Bombieri-Vinogradov theorem, but I am aware of the heuristic that Bombieri-Vinogradov (which is sort of a "GRH on average" type result) can be substituted for GRH in some cases.
So my question is... what are some types of problems where the Bombieri-Vinogradov theorem may be used as a substitute for GRH?