I don't quite know the basis on which you provide this 'information'. Some of the routes you list as being 'sponsored' by Surrey County Council are contracted by Transport for London, having been tendered, and are operated on a 5 year contract, which is (usually) extendable by 3 years. The buses are in standard London livery as per the contract. The 2 routes you 'cannot determine' are TfL routes too. This info is available on various TfL websites, including full timetables, but I would suggest anyone really interested in the subject consult the incomparable London Bus Routes website maintained by Robert Munster on
www.londonbusroutes.net , not to be confused with the equally wonderful site of Ian Armstrong's with a similar name.
Mr Munster lists every stage carriage route available to the general public that operates within Greater London, if only for a few yards, with full details of contract dates/basis for TfL routes and the basis on which non-TfL routes are operated e.g. Surrey County Council tendered service or provided commercially - sometimes the date of the council contract is given too. Now, whether for instance Surrey has entered into an arrangement with TfL to provide some financial backing for the 465 to Dorking, for instance, I don't know and I'm unsure this sort of information is in the public domain.
P.S. Left out the most salient point. perhaps, which is the flat £1.50 fare for any distance on the TfL routes.