The best replacement for byakuya is kenpachi.

The best alternatives to byakuya are rated as following:
★★★★★  kenpachi
★★★★★  ichigo
★★★  renji
★★  aizen
★★  zommari
★★  tsukishima
★★  as nodt
★★  kouga
★  grimmjow
★  byakuya
★  ulquiorra
★  yoruichi
★  kariya
★  gin
★  toshiro
  hitsugaya
  sesshomaru
  nnoitra
  ukitake
  yammy
  ichigo episode
  sesshoumaru
  ichimaru

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

Other search terms related to byakuya and their ratings are:
★★★★★ yoruichi
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Google Trends

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byakuya
kenpachi
ichigo