The best replacement for weaver is picatinny.

The best alternatives to weaver are rated as following:
★★★★★  picatinny
★★  isosceles
★★  isosceles stance
★★  picatinny rail
★★  leupold
★★  dovetail
★  picatinny rails
★  john tate
★  warren
★  bushnell
★  tate
  redfield
  picatinny mounts
  burris
  nebo school district
  lang
  east catholic
  dovetail mount
  holmes
  maloney
  justin verlander
  front page
  grass spider
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  gerrie coetzee
  picatinny rings
  konos
  hartford public
  ris
  weaver
  sightron

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Speaking about weaver, one probably shouldn't forget about jennifer love.

Other search terms related to weaver and their ratings are:
★★★★★ jennifer love
★★★ web
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weaver
picatinny
isosceles