The Windows 10 Anniversary update installs Skype by default et makes it impossible to delete from the program manager tool.
Here is the TIP :
Start a Powershell with administrator rights and type the following command :
Get-AppxPackage *skypeapp* | Remove-AppxPackage
Skype is now deleted. You can use this command to delete many other useless services. The following link will provide you more informations :
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