BMED (BA affiliate) was bought by BMI earlier this year and will officially start operating as BMI on Oct 28th. After this you won't be able to earn/use Oneworld miles on these routes, and therefore won't be valid for OWE's either. That's a huge loss of destinations/countries for Oneworld

From the BMED website:
bmi will continue to operate BMED's 17 routes: Addis Ababa, Ethiopia; Aleppo, Syria; Alexandria, Eqypt; Almaty, Kazakhstan; Amman, Jordan; Ankara, Turkey; Baku, Azerbaijan; Beirut, Lebanon; Bishkek, Kyrgystan; Dakar, Senegal; Damascus, Syria; Ekaterinburg, Russia; Freetown, Sierra Leone; Khartoum, Sudan; Tbilisi, Georgia; Tehran, Iran; Yerevan, Armenia.

Some of these are still covered
ADD : no
ALP : RJ
ALY/HBE : RJ
ALA : no
AMM : RJ
ESB : no
BAK/GYD : no
BEY : RJ,MA
FRU : no
DKR : IB
DAM : RJ,MA
SVX : MA
FNA : no
KRT : RJ
TBS : no
THR : no
EVN : no

Will BMed flights start earning Star Alliance miles?

Yes, and able to be included in *A RTWs already.

SVX : MA (Okay, it's not a daily schedule, but it does appear to be year-round.)

At least RJ joined OW otherwise the loss would have been even greater.

I was surprised that RJ doesn't have service to Tehran

Also -- I know its not oneworld but its an AA and a BA core partner and many of us hope it will join oneworld -- but SN flies to DKR six days a week and Freetown twice a week.

I have a LHR - ESB flight with BMI (BA Codeshare) as part of my LONE5 for next year. Is this going to be a problem?

you will only be able to earn miles in BA's program for this flight. Other programs won't earn miles as it's a non-oneworld codeshare.

I assume that this is already ticketed ? If it is you will be allowed to fly it though of course it wont earn miles on any programme other than BA's . If it is not yet ticketed then you are presumably S.O.O.L.

Its been booked but not ticketed yet. I could always just go to IST instead. Thanks for the info.