The best replacement for arma 3 is battlefield 4.

The best alternatives to arma 3 are rated as following:
★★★★★  battlefield 4
★★★★★  arma 2
★★★  dayz
★★★  bf4
★  dayz standalone
  vbs2

Your alternative for arma 3 is not listed? Suggest!
Speaking about arma 3, one probably shouldn't forget about dayz.

Other search terms related to arma 3 and their ratings are:
★★★★★ dayz
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Google Trends

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arma 3
battlefield 4
arma 2