I know that I am coming to this very late but it seems that some clarity is required here.
The "many years" that is sung for individual people on special occasions such as ordinations, name days, and so forth, with the deacon's introduction "God grant a prosperous and peaceful life...", is not what is being asked about in the opening post.
Rather, it seems that the question is about the "many years" that is sung at the end of Matins in the All-Night Vigil and at the end of every Divine Liturgy. This occurs immediately after the dismissal. The hierarchy is commemorated in order, then the local authorities, then the parishioners of the local church "and all Orthodox Christians". It is not, to my knowledge, usually omitted in the Slavic tradition, although in the Greek tradition it is much simpler, commemorating only "the one who blesses us and sanctifies us".