The best replacement for bassman is super reverb.

The best alternatives to bassman are rated as following:
★★★★★  super reverb
★★★★★  jtm45
★★★★  bandmaster
★★★★  deluxe reverb
★★★★  twin reverb
★★★  ac30
★★  plexi
★★  blues deville
★★  bluesbreaker
★  showman
★  blues deluxe
★  vibrolux
★  deville
★  tweed twin
  vox ac30
  marshall jtm45
  hot rod deluxe
  tweed deluxe
  fender deluxe
  fender deville
  rumble
  tremolux
  jtm
  hot rod deville

Your alternative for bassman is not listed? Suggest!
Speaking about bassman, one probably shouldn't forget about attenuator.

Other search terms related to bassman and their ratings are:
★★★★★ attenuator
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bassman
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