The best replacement for black cleaver is ravenous hydra.

The best alternatives to black cleaver are rated as following:
★★★★★  ravenous hydra
★★★★★  ghostblade
★★★★  last whisper
★★★  last whisper miss fortune
★★★  bloodthirster
★★  blade of the ruined king
★★  youmuu's
★  trinity force
★  infinity edge
★  last whisper vayne
★  phantom dancer
  last whisper ezreal
  frozen mallet
  last whisper ashe

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Speaking about black cleaver, one probably shouldn't forget about last whisper.

Other search terms related to black cleaver and their ratings are:
★★★★★ last whisper
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black cleaver
ravenous hydra
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