CAI, LHR, HKG, YVR, JFK, LHR, MUC. However I would also like to visit Kauala Lumpur & Tokyo
cai-lhr-hkg-nrt-hkg-kul-jfk-yvr-(other N.A. segments)-lhr-muc-lhr-cai
going lhr-nrt saves u time but u missed CX's F (which IMHO is superior over BA's)
there is a small problem, i think you are only allowed 2 stopover's in Europe, now you have 3 (2 in LHR, 1 in MUC), if one of your LHR "stopover" is less than 24 hour, it is not counted at as a "stopover". otherwise, u might not not be able to incl MUC in this tkt