The best replacement for complaint is complain.

The best alternatives to complaint are rated as following:
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★★★★  grievance
★★★  petition
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★★★  information
★★  complaint
★  motion
★  claim letter
★  criticism
★  compliment
★  compliant
★  summons
★  lawsuit
★  claim
★  concern
★  feedback
★  appeal
  cross complaint
  adjustment letter
  verified complaint
  reason for visit
  grievance cms
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  pressing charges
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Speaking about complaint, one probably shouldn't forget about ftc.

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