I enjoyed the extended battle scenes in the siege of Minas Tirith. With the battle on the siege towers and the ring wraiths strafing the battlements. Especially the one where the orc horde sends the battalion of orcs charging the gate with their puny battering ram, only to be completely pasted by the Gondorian Archers. It gets to the point where the bodies are piled so high against the door that they can't ram the door.
Finally Gothmog decides to bring up "Grond" (aka Giant Troll Powered Battering Ram), like duh, why didnt he do that in the first place

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The scene from FOTR I liked the most is when Aragorn and Boromir are talking the night before they reach the Falls or Rauros and Boromir pleads with him to bring the ring to Minas Tirith. Aragorn rejects it by saying that he "Would not bring it within a hundred leagues of the white city." It sets up the divide between Aragorn and Boromir nicely which flows well into the next scenes where Boromir tries to take the ring by himself.