War: Art of War, Siege Tower, Legion. With the Siege promotion, a Tower, and a GG, Legions would attack Cities at 40 Strength. You could conquer the whole world before anybody even researched Chivalry. Alternatively, Art of War, Keshik, Khan would obviously be stupidly good.
Religion: Patriarchate of Constantinople, Pictish Warrior, Stele. Pretty obvious. If we can combine multiple UBs (and skip a UU), Stele + Pyramid or Stele + Candi would be absurd.
Growth: Father Governs Children, Merchant of Venice, Floating Gardens. You'd just use the MoV for giant trade missions, then buy up all the Maritime City-States. You'd have cities with 60+ population by the end of the game, easily.