What are similar black and/or white permanents to Divine Visitation?
The Advanced Search on Gatherer may help a little. 

For buffs that work when a creature enters the battlefield, search for "creature enters the battlefield under your control". 

E.g. Cathars&#39; Crusade:


  Whenever a creature enters the battlefield under your control, put a +1/+1 counter on each creature you control.


For permanent buffs, search for "creatures you control get" or "creatures you control gain":

E.g. Benalish Marshal:


  Other creatures you control get +1/+1.