The best replacement for pun is play on words.

The best alternatives to pun are rated as following:
★★★★★  play on words
★★★★  double entendre
★★  punn
★★  biggie
★★  paronomasia
★  innuendo
★  idiom
★  ambiguity
★  malapropism
★  fun japanese
★  irony
  kar
  fat joe
  big l
  cliche
  biggie smalls
  no pun
  wordplay
  paranomasia
  word play
  oxymoron

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Speaking about pun, one probably shouldn't forget about word pun.

Other search terms related to pun and their ratings are:
★★★★★ word pun
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Google Trends

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pun
play on words
double entendre