The solutions like cmd /c pause
cause a new command interpreter to start and run in the background. Although acceptable in some cases, this isn't really ideal.
The solutions using Read-Host
force the user to press Enter and are not really "any key".
This solution will give you a true "press any key to continue" interface and will not start a new interpreter, which will essentially mimic the original pause
command.
Write-Host "Press any key to continue..."
[void][System.Console]::ReadKey($true)