The best replacement for lhasa apso is shih tzu.

The best alternatives to lhasa apso are rated as following:
★★★★★  shih tzu
★★★★  maltese
★★  havanese
★★  tibetan terrier
★  shitzu
★  shitz su
  pekingese
  shitz zu
  shih tsu
  shitz tzu
  cockapoo
  lhasa apso
  shitz shu
  shi tzu

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Speaking about lhasa apso, one probably shouldn't forget about poodle mix.

Other search terms related to lhasa apso and their ratings are:
★★★★★ poodle mix
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lhasa apso
shih tzu
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