The best replacement for salute is cheers.

The best alternatives to salute are rated as following:
★★★★★  cheers
★★★  hand over heart
★★★  cin cin
★★  salud
★★  solute
★★  blue label
★  shoot
★  21 gun salute
★  salut
★  present arms
  23 year salute
  american salute
  army salute
  18 gun salute
  3 volley salute

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Speaking about salute, one probably shouldn't forget about taps.

Other search terms related to salute and their ratings are:
★★★★★ taps
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salute
cheers
hand over heart