The Brits did develop a tachimetric bombsight late in the war but the heavy lifting was always done by the Mighty Eighth. Simply superior equipment. Pretty, who the F knows or cares.
The B-17 was in fact better armed as was the B-24.
The big advantage the Lancaster had was it’s incredible for the time bomb load. It could carry 22,000 pounds. It also had a much longer range than the B-17.
I will admit that an American aircraft carrying 13 .50 caliber guns was way ahead of 10 .303 machine guns.
I know that Lancasters were still being used only a few years ago, tho not as bombers.