The best replacement for myth is legend.

The best alternatives to myth are rated as following:
★★★★★  legend
★★★★★  fact
★★★  reality
★★★  truth
★★  history
★  folktale
★  real
★  fable
  descent
  urban legend
  fairy tale
  fact u by kotex
  epidemic
  tall tale
  folklore
  ice wizard101
  fact website
  facts
  balance wizard101
  medicine
  allegory
  epic

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

Other search terms related to myth and their ratings are:
★★★★★ ares
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Google Trends

Scale is based on the average worldwide traffic of myth in all years. Click on graph for more.
myth
legend
fact