The best replacement for liar is lier.

The best alternatives to liar are rated as following:
★★★★★  lier
★★★★  lunatic
★★★  sociopath
★★★  face
★★  liar
★★  delusional
★★  compulsive liar
★★  truth teller
★  narcissist
★  pathological liar
★  bold faced liar
★  lie
★  bald faced liar
★  yes man
★  habitual liar
★  lair
★  fibber
  pathological
  felon
  anjing
  honest

Your alternative for liar is not listed? Suggest!
Speaking about liar, one probably shouldn't forget about calling them a liar.

Other search terms related to liar and their ratings are:
★★★★★ calling them a liar
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Google Trends

Scale is based on the average worldwide traffic of liar in all years. Click on graph for more.
liar
lier
lunatic