The best replacement for tikka t3 is remington 700.

The best alternatives to tikka t3 are rated as following:
★★★★★  remington 700
★★★★  savage
★★★  sako a7
★★  weatherby vanguard
★★  browning x bolt
★★  weatherby vanguard s2
★★  ruger american
★  browning a bolt
★  sako 85
★  browning a-bolt
★  ruger m77
★  winchester model 70
★  cz 550
★  thompson center venture
★  remington 700 sps
★  savage 116
★  savage 10
  sako
  tc icon
  howa 1500
  savage weather warrior
  tc venture
  vanguard
  savage 11
  weatherby vanguard series 2
  m77
  cz 527
  xbolt
  ruger hawkeye
  sako 75
  remington 770
  savage 111
  700
  x-bolt
  x bolt

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Speaking about tikka t3, one probably shouldn't forget about bell and carlson stock.

Other search terms related to tikka t3 and their ratings are:
★★★★★ bell and carlson stock
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tikka t3
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