The best replacement for bully is pitbull.

The best alternatives to bully are rated as following:
★★★★★  pitbull
★★★★  victim
★★★★  gta
★★★  nerd
★★★  bully
★★  bully scholarship edition
★★  reaver
★  bullied
★  pit
★  berg
★  boxer
★  tease
★  asian
★  get bullied
  american bulldog
  apbt
  fat kid
  intimidate
  pop and lock
  xr10
  martial artist
  scholarship edition
  bossy
  bumper badger
  pit bull
  mma fighter
  not to bully

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Speaking about bully, one probably shouldn't forget about fully.

Other search terms related to bully and their ratings are:
★★★★★ fully
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Google Trends

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bully
pitbull
victim