Finite complex reflection groups were classified by Shepherd and Todd: up to finitely many exceptions they are the groups G(r,p,n) or the Symmetric groups. This talk is about a combinatorial description of the McKay quivers of the groups G(r,p,n).
Furthermore, I will comment on a McKay correspondence for complex reflection groups. This is joint work with R.-O. Buchweitz, C. Ingalls, and M. Lewis.