A 45 minute bike ride from Amsterdam is Muiden - a small picturesque town with a castle! From there, take another 30 minute bike ride to Naarden - a star shaped town.
Visit Amsterdam castle, see the medival church from the year 1122. Cycle to see the windmills in Weesp and Naardermeer.
Muiden Castle is a walk or bike ride away and the village has a nice old center with terraces.
Amsterdam Castle (Muiderslot) is the main attraction of this beautifull laid back harbourtown at the mouth of the river Vegt. Just 30 minutes away by bus.