It all depends on how long you have.
Are you looking for day trips or staying in two different places?
What are rou interested in ?
I lived and worked in London in the 60s and so only wanted to experience the Eurostar and spend the morning at the Queen's Gallery and the afternoon at the V&A, so a day was enough for me. However, I had just spent 10 days in Amsterdam and absolutely loved every minute of it. I had only been there for 5 days in a winter in the 80s. It depends on your interests. There are wonderful museums in both cities. I'd get a guidebook on both cities and make a list and see which city gets the most ticks
London, Amsterdam, Brussels or possibly Brugges. My personal choice would be Bayeux for an overnight stay and a tour of the D-day beaches and the American Cemetery. In all of our many trips to Europe and Paris, the beach area of Normandy is the only place we really felt compelled to return to. An easy train trip. (we originally come from North Merrick.)
I suggest very nice place
You can travel by train to proxel, it will take hour and have, then take another train from proxel to brouge, 3 houre
Do you mind a long overnight train ride? Because I would recommend Rome if you haven't already been there. We had a fortnight in Europe in June and we split the time between Rome and Paris. Paris is wonderful but Rome became our favorite just because it has a soul like no other place in the world.Edited: 07 July 2013, 13:15
No, its not a night train, and you can
Take a train any time, no need for reservation
Brouge beautiful place,
Rome, London and Amsterdam are all excellent choices. I have never been to Normandy but have heard positive things. You can also take the TGV (approx. 3 hours) to Lyon, if you want to stay in France. I loved every minute of my time there. They have fantastic Michelin starred restaurants which seemed more affordable than Paris (I am still raving about the Restaurant Pierre Orsi) and some Roman ruins. If Roman ruins are of interest, and the theatre in Lyon is not enough to keep your attention, there are tons more ruins in Vienne which is about 30-40 minutes away by train.
Lyon was France's silk capital so there are also lots of interesting things to explore in the veille ville, including the "traboules" which are covered passageways through and between buildings.
I had about 2.5 days there and managed to see all the major sites, albeit at a bit of a ruthless, breakneck pace.