The best replacement for perfect game is no hitter.

The best alternatives to perfect game are rated as following:
★★★★★  no hitter
★★  cycle
★  baseball factory
★  no hitter in baseball
★  triple play
★  no
  no-hitter
  4 home runs
  unassisted triple play
  no hitter baseball

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Speaking about perfect game, one probably shouldn't forget about detroit tigers.

Other search terms related to perfect game and their ratings are:
★★★★★ detroit tigers
★ least amount of pitches
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no hitter
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