In the east part of the Netherlands you could stay in the city Groenlo. It has a beautiful historic centre with canals, old canons and nice churches. A good place to stay is www.marveld.nl or if you prefer a more natural area www.buitengewoonlievelde.nl both are close to the train station and very close to the German border. There are nice little and typical Dutch villages around, like Bredevoort, Bronckhorst and Doesburg.
Thank you so much for your reply Klomptgoed and I will google this area as it sounds lovely.
The entire country is within a few hours of Amsterdam. In fact, most of Belgium is too. Perhaps you want to narrow it down a bit more, for example by stating your preferences. Do you like cities or nature? What activitiies would you want to do: walk, hike, bike, swim, sit in a cafe? Do you like art, castles, modern architecture, quaint villages?
Just spent two weeks in Zwolle as Amsterdam has become too crowded (although we did include a day trip). A medieval city with one of the city gates and some portions of the wall still standing and surrounded by a star shaped moat. Just over an hour by train from Schiphol or Amsterdam. Made other day trips to Leeuwarden, Kampen, Urk, Hattem, and Hasselt. Nice mix of architecture, museums, cafes, bars, pubs, coffeeshops, restaurants (including the top ranked one in The Netherlands), and shopping. In all probability our return trip will be to Zwolle. Check out the hanseatic cities here:
"Not all those who wander are lost.” ― J.R.R. TolkienEdited: 14 November 2018, 18:32
I second what @157chantalm said. "Within a few hours" you could be pretty much anywhere in Western Europe, as Amsterdam has cheap flight connections with pretty much any city you could want to visit. But if you tell us some of your favorite things to do, and whether you want to stay in the Benelux/German area or go elsewhere, we can make more specific recommendations!
Some of my nearby favorites:
-Luxembourg City & Vianden