I'm a UK national living in Germany with a British driving license from 1991. I can't renew or update my British license (as confirmed by DVLA) as I don't have an address in Great Britain. However, the old license has no photo, contains my maiden name and my last address in Great Britain. What can I do?
As long as the UK is still part of the EU, your drivers license is valid in Germany for as long as it is valid in the UK. So from the legal site you are fine. But, as mentioned above, with a European drivers license you have the right to exchange it to a drivers license from the country you moved to (Germany). So with Brexit in mind, maybe it helps to get it changed soon. For that you can just make an appointment at the Bürgeramt of the city you are living in and bring a biometric photo, your passport, a medical okay from a doctor and a short check up at the eye doctor. The list probably depends on your city and they might have prefilled forms, so check on their website.