I was just reading at www.traveldailynews.gr, that Maersk Air is starting the non-stop Athens- Birmingham in co-operation with British airways.
They will be using B737-500 and they'll fly thrice a week.
Tuesday & Thursday:
13:50 dep. 16.10 arr.
19:40 dep. 22:00 arr.
It says on the site that they are starting that route because of the travellers for business purposes as well as for the Greek students in Birmingham and the surrounding areas.