The best replacement for hatha yoga is vinyasa yoga.

The best alternatives to hatha yoga are rated as following:
★★★★★  vinyasa yoga
★★★★★  vinyasa
★★★  ashtanga yoga
★★★  yoga
★★★  bikram yoga
★★  kundalini
★★  anusara
★★  ashtanga
★★  raja yoga
★★  iyengar
★★  kripalu
★★  power yoga
★  yin yoga
★  hot yoga
★  kundalini yoga
★  bikram
  iyengar yoga
  gentle yoga
  vinyasa flow

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Speaking about hatha yoga, one probably shouldn't forget about pranayama.

Other search terms related to hatha yoga and their ratings are:
★★★★★ pranayama
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Google Trends

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vinyasa yoga
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