Any way to add Greece or Turkey?
 

I would appreciate help from some of the experienced and knowledgeable people on this question:

On a DONE5, going from LHR-DXB (London to Dubai), is there any way to stop for a few days in Greece, Turkey or any other North African or Southern European country (except Spain) without returning to LHR?

You can of course fly from LON to e.g. CAI or IST or ATH and then make your own way to DXB. In scrounging around for a cheap way to get from ending one in CMB to starting one in DAM, I noted that DXB-DAM on EK is very cheap in coach, at least, in case that helps.