The best replacement for egg nog is boiled custard.

The best alternatives to egg nog are rated as following:
★★★★★  boiled custard
★★★  holly nog
★★  raw egg nog
★★  tom and jerry
★  holiday nog
★  egg nog
★  eggnog
  custard

Your alternative for egg nog is not listed? Suggest!
Speaking about egg nog, one probably shouldn't forget about rum.

Other search terms related to egg nog and their ratings are:
★★★★★ rum
southern comfort
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Google Trends

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egg nog
boiled custard
holly nog