The best replacement for mini rectifier is rectoverb.

The best alternatives to mini rectifier are rated as following:
★★★★★  rectoverb
★★★★  rectoverb 25
★★★★  dark terror
★★★★  carvin v3m
★★★★  transatlantic
★★★★  5150 iii
★★★★  dual rectifier
★★★  tubemeister
★★★  dual terror
★★  ta-15
★★  engl
  orange dark terror
  evh 5150 iii
  ta 15

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mini rectifier
rectoverb
rectoverb 25