The best replacement for olaf is jax.

The best alternatives to olaf are rated as following:
★★★★★  jax
★★★  renekton
★★★  riven
★★★  xin zhao
★★★  darius
★★★  pantheon
★★★  trundle
★★  tryndamere
★★  mundo
★★  nasus
★★  shen
★★  garen
★★  shyvana
★  xin
★  akali
★  nidalee
★  wukong
★  gragas
★  fiora
★  udyr
★  lee sin
★  singed
★  shaco
★  irelia
  katarina
  warwick
  malphite
  gangplank
  tryn
  rengar
  polakowski
  razor rob
  sion
  cho
  carleton

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

Other search terms related to olaf and their ratings are:
★★★★★ irelia
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Google Trends

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olaf
jax
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