The OP was concerned about devices with very thin cables being protected if there was a short at the appliance end of the thin cable which is why I suggested a 6 amp MCB. (Which is the lowest rating I have seen in the UK.) Living in the UK I don't know how this situation is dealt with in the many EU countries. The sockets I have seen in EU countries I have visited have been the 16 Amp Schuko sockets. So if the MCB (Or fuse) is rated at 16 amps that feeds the socket then for the appliance cable to be protected it must be rated for 16 amps even if the appliance only takes a very small current. In the UK most mains sockets are the 13 amp type. The cable to the sockets is protected by the MCB but all 13 amp plugs have a replaceable fuse fitted. (These are available in 2, 3, 5, 7, 10 and 13 amp ratings.) So the appliance cable can be protected by a suitable rated fuse in the plug. It is not foolproof as the user can fit a higher rated fuse than the correct one.
Les.
Les.