It is possible that you will come across sockets that will not take the adapter you have because there are slight differences between those in use in the countries you list. The differences concern pin diameter and spacing as well as the size of the plug recess in the socket. However, generally speaking you should manage. Austria, Germany and the Netherlands use similar sockets although this means at least two different types can be found. In France you will for example come across three pin sockets which can however take certain two pin plugs. The UK plug is utterly unique and not in use anywhere else in Europe. Presumably national pride and various vested interests prevent EU regulations dictating a single type across the EU - more or less any of those in use would be perfectly adequate. How much simpler life would be.