The best replacement for distillation is reverse osmosis.

The best alternatives to distillation are rated as following:
★★★★★  reverse osmosis
★★★★  fractional distillation
★★★  filtration
★★★  fermentation
★★  evaporation
★★  reflux
★  co2 extraction
★  fractional
★  simple distillation
★  extraction
  distillation
  deionization
  fractional distillation graph
  fractionation
  steam distillation
  simple
  crude oil
  recrystallization
  ro
  refluxing
  normal distillation

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Speaking about distillation, one probably shouldn't forget about crude oil.

Other search terms related to distillation and their ratings are:
★★★★★ crude oil
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distillation
reverse osmosis
fractional distillation