The FAA has an online airman database
here
It will display name, address and ratings held. They must think there is value in an online system and that it is suitably secure (they are very keen on the protection of privacy of personal information over there).
The database won't display the license number - I assume this is to stop forgeries (although my record (reciprocal) DOES display my CAA license number!), and any pilot can opt out of having personal information displayed if they want to. Interestingley, basic changes, such as change of address, or opting out, can even be done on line
I guess some people use it and find it of value, but would anyone really use a CAA equivelent? Since nobody has ever asked to see my paper license or medical, I somehow doubt it.