The best replacement for chuck roast is rump roast.

The best alternatives to chuck roast are rated as following:
★★★★★  rump roast
★★★★  round roast
★★★  pot roast
★★★  shoulder roast
★★  chuck steak
★★  chuck tender roast
★★  arm roast
★  sirloin tip roast
★  brisket
★  sirloin roast
★  top round roast
★  bottom round roast
★  bottom round
★  top round
★  chuck eye roast
★  english roast
★  eye of round
★  beef roast
★  beef brisket
★  eye roast
  tri tip
  london broil
  stew meat
  steak
  cross rib roast
  rib roast
  chuck eye
  blade roast
  arm
  chuck tender
  sirloin tip
  sirloin

Your alternative for chuck roast is not listed? Suggest!
Speaking about chuck roast, one probably shouldn't forget about lipton onion soup.

Other search terms related to chuck roast and their ratings are:
★★★★★ lipton onion soup
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Google Trends

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chuck roast
rump roast
round roast