Personally, Shove, Throw, and the implementation of Custom Abilities for weapons do enough to make martials feel like they have distinct useful abilities beyond hitting things hard in the early levels, and feel like the type of thing a martial character would ask their DM if they could do in encounters, so honestly I wouldn't really add more special abilities to the list. 5e is balanced in certain ways and adding too much could really mess up that balance.
Also i know its tangential, but I don't think people are bashing Shove so much as they want it nerfed so that it becomes more in line with the existing system and thus feels like a proper addition.
