From the following Swiss cities you are so close to the neighbors european cities:
From Basel (Combine with Gernamy or France) about one hour drive to visit Freiburg im Breisgau (The Black Forest) , Germany
or Mulhouse , France (Alsace region) .
From Zurich (Combine with Lichtenstein or Germany) about one hour to visit Vaduz , Liechtenstei or Constance , Germany
From St. Gallen (Combine with Lichtenstein or Austria): about one hour to visit Vaduz , Liechtenstei or Bregenz, Austria
From Lugano (Combine with Italy) about one hour to visit Lake Como or Milano , Menaggio and Bellagio in Italy.
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From Geneva (Combine with France) about one hour drive to visit Annecy , France (known as the Pearl of the French Alps)