I've also noticed quite a few problems with the klm.co.uk booking tool lately, as also quite often with the AF website. However, I've rarely had them both go loopy at the same time; and, I think, one can now book 'pure' KL flights (not just code-shares &c) on the AF website and vice versa ... so you just need a wee bit of cunning and a large dose of persistence!

[And I know how much you love the AF/CityJet websites, Cupart !]

-- Henry