The best replacement for low fat diet is low carb diet.

The best alternatives to low fat diet are rated as following:
★★★★★  low carb diet
★★★  low calorie diet
★  high fat diet
★  atkins
★  low sugar diet
★  low carbohydrate diet
★  low carb
  low calorie
  high protein diet
  mediterranean
  mediterranean diet
  high protein

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Speaking about low fat diet, one probably shouldn't forget about high fiber.

Other search terms related to low fat diet and their ratings are:
★★★★★ high fiber
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Google Trends

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low fat diet
low carb diet
low calorie diet