The best replacement for geisha is prostitute.

The best alternatives to geisha are rated as following:
★★★★★  prostitute
★★★★★  maiko
★★★★  oiran
★★★  gisaeng
★★  concubine
★★  ninja shogun 2
★  japanese geisha
★  geishas
★  peterpan
★  geisha

Your alternative for geisha is not listed? Suggest!
Speaking about geisha, one probably shouldn't forget about shamisen.

Other search terms related to geisha and their ratings are:
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Google Trends

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maiko