Hi EMBEE

There's a company called Groupama do it, you can find them here :
https://www.groupama.co.uk/brokers/
I know they do it because I've used them for quite a few years now. They won't deal with you direct though, you'll have to go through a broker. Carole Nash use them and are probably your best bet just specify that you want Groupama as your insurer, you'll get breakdown cover too with the Carole Nash policy and it'll cover you in all the member countries. I've found them pretty good they do non EU countries aswell, green cards used to be free but last year they started charging for them, I got one for Ukraine and I think it was about forty quid. When I protested on the phone with Carole nash that green cards had been free before the guy said that they were gonna stop doing them but people complained so they said they'd carry on but were gonna have to charge for it. Fair enough I think.
I hope this helps, everything I've said refers to when you take a years policy though, I guess if you've already renewed with your current insurer there would be some cost involved for you to change but you can always get some quotes and see what you think.
Also this may help with who's in and who's not when it comes to Europe:
EUROPA - Countries
Carole Nash will tell you you don't need a green card for Europe members because they'll be on your policy but I like to take one with all my options on and I can go where I want then.
Regards.