The best replacement for cutter is sloop.

The best alternatives to cutter are rated as following:
★★★★★  sloop
★★★★  slider
★★★  punch
★★★  ketch
★★  off
★  cuter
★  torch
★  clipper
★  qatar
★  tiller
★  wet saw
★  cutting torch
★  cut fastball
★  punch for cigar
★  trimmer
★  strimmer
★  tile saw
★  wing attack
★  punch cigar
  chopper
  splitter
  frigate
  butcher
  omni dual saw
  refurbished plasma cutter
  aerial ace
  rko
  cricut
  water jet
  rototiller
  air slash
  vinyl express
  2 seam fastball
  bed edger
  plotter
  curveball
  curve ball
  intimidate
  bandsaw
  laser cutter

Your alternative for cutter is not listed? Suggest!
Speaking about cutter, one probably shouldn't forget about cutting mat.

Other search terms related to cutter and their ratings are:
★★★★★ cutting mat
★★★★★ built in air compressor
★★ skip stitch blade
★ mat
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Google Trends

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cutter
sloop
slider