The best replacement for cr2016 is cr2025.

The best alternatives to cr2016 are rated as following:
★★★★★  cr2025
★★★★  cr2032
★★★★  dl2016
★★★  cr1616
★★  2025
★★  dl2032
★★  cr1620
★★  cr1632
★★  cr1616 battery
★  2032
★  ml2016
★  br2016
★  cr2032 batteries
★  cr2012
  dl2025
  cr2032 battery
  one cr2032
  1 cr2032

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cr2016
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cr2032