The best replacement for freemason is mason.

The best alternatives to freemason are rated as following:
★★★★★  mason
★★★★★  illuminati
★★★  knights of columbus
★★  knights templar
★★  prince hall mason
★  scottish rite
★  stone mason
  elks
  accepted mason
  rosicrucian
  shriner

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Speaking about freemason, one probably shouldn't forget about kanumba.

Other search terms related to freemason and their ratings are:
★★★★★ kanumba
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