You don't need to physically get a license to shoot a number of species, they are listed on the 'general license' that is issued to the population as a whole. If it comes to it, you will need to justify any killing if asked, be it for health & safety reasons, crop protection or whatever. Most species of Crow can be shot without a special license, Carrion Crow, Magpie, Jay, Jackdaw and Rook.
Starling and House Sparrow have only very recently been removed from the 'general license'