The best replacement for swedish massage is deep tissue.

The best alternatives to swedish massage are rated as following:
★★★★★  deep tissue
★★★★  deep tissue massage
★★★★  thai massage
★★★  shiatsu
★★★  hot stone massage
★★★  sports massage
★★  therapeutic massage
★★  hot stone
★★  regular massage
★★  lomi lomi
★  shiatsu massage
★  myofascial release
★  acupressure
★  massage
★  aromatherapy massage
★  reflexology
★  relaxation massage
  full body massage
  aromatherapy
  balinese massage
  javanese massage
  remedial
  therapeutic
  holistic massage

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Speaking about swedish massage, one probably shouldn't forget about hot stones.

Other search terms related to swedish massage and their ratings are:
★★★★★ hot stones
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swedish massage
deep tissue
deep tissue massage