The best replacement for band saw is table saw.

The best alternatives to band saw are rated as following:
★★★★★  table saw
★★★  scroll saw
★★★  chop saw
★★★  jigsaw
★★  miter saw
★★  cold saw
★  jig saw
★  drill press
★  hacksaw
★  sawzall
★  circular saw
★  bandsaw
★  cut off saw
★  ring saw
★  plasma cutter
  rikon
  scroll saw which is better
  metal cutting band saw
  abrasive
  reciprocating saw
  blade runner
  saber saw
  chain saw

Your alternative for band saw is not listed? Suggest!
Speaking about band saw, one probably shouldn't forget about meat grinder.

Other search terms related to band saw and their ratings are:
★★★★★ meat grinder
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Google Trends

Scale is based on the average worldwide traffic of band saw in all years. Click on graph for more.
band saw
table saw
scroll saw