Oh yes, Maw- our Emma has hers, Danish, with Swiss and French vet stamps in it. And she comes back and forth with us, to our family and friends in the UK - she has also been to Italy with us, and goes to France many times a week.
Minou 3 legs has his too- issued in France although he lives in Switzerland- although he tends to stay behind with our wonderful French neighbour looking after him.
But the VERY POINT is - that those EU passports will no longer be valid soon to and from UK. That means that those with pets will no longer be able to travel to visit family, or to go on holiday. As during the last financial crisis, when 1000s of Brits living in France were hit badly and could not sell their home, they will probably be left behind- like last time. Dogs, cats, chickens, donkeys, horses and so many more- abandonned at the local spa in boxes- or just left in the garden - with the key under the matt and no forwarding address. That is the reality on the ground.
Emma is wonderful - but at 13, very disturbed by the trauma her owners put her through before we took her on. Euthanazed her son who was 11 - and dumped her on our doorstep. She is gorgeous, but we just could not leave her in kennels or with anyone- as long as she is with us, she is very happy. So, what would we choose- visiting our grandchildren? Or Emma?