The best replacement for antioxidants is free radicals.

The best alternatives to antioxidants are rated as following:
★★★★★  free radicals
★★  oxidants
★★  phytochemicals
★  antioxidants
  green tea
  pro-oxidants
  free radical

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Speaking about antioxidants, one probably shouldn't forget about lycopene.

Other search terms related to antioxidants and their ratings are:
★★★★★ lycopene
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antioxidants
free radicals
oxidants