The best replacement for big muff is little big muff.

The best alternatives to big muff are rated as following:
★★★★★  little big muff
★★★★★  fuzz face
★★★★  rat
★★★  tube screamer
★★★  metal muff
★★★  swollen pickle
★★★  fuzz
★★  fuzz factory
★★  tone wicker
★★  bass big muff
★  devi ever
★  ds-1
★  big muff nano
★  double muff
★  fuzz war
★  big muff pi
★  fulltone 69
  ds 1
  tone bender

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Speaking about big muff, one probably shouldn't forget about tube screamer.

Other search terms related to big muff and their ratings are:
★★★★★ tube screamer
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