The best replacement for overweight is obese.

The best alternatives to overweight are rated as following:
★★★★★  obese
★★★★  underweight
★★★  overfat
★★  obesity
★  obese bmi
★  underweight stock
★  overweight
★  outperform
★  curvy
★  big boned
  market weight
  gynecomastia
  obesity definition
  underweight stocks
  normal weight
  equalweight
  underweight is better
  skinny
  equal weight
  healthy
  obese definition

Your alternative for overweight is not listed? Suggest!
Speaking about overweight, one probably shouldn't forget about diabetes.

Other search terms related to overweight and their ratings are:
★★★★★ diabetes
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Google Trends

Scale is based on the average worldwide traffic of overweight in all years. Click on graph for more.
overweight
obese
underweight