From Strasbourg, just about everyone heads south to the many charming villages on the 'Route du Vin.' Whether you plan to drink in the scenery or the wind, there are many choices. There are wonderful wines produced in the area, and much choice.
As for villages, Ribeauville, Kayserburg, Obernai, Eguisheim, Colmar, and Riquewihr are only a few which merit a visit, though the latter tends to be the one most often mentioned and visited as the archetypical village of Alsace. The area has been in disupte between France and Germany throughout history, and as such retains considerable German influence.
Haut-Koenigsbourg castle is also nearby and situated at some 2500ft. Though heavily restored in the early 1900s, it dates back to the 1500s and is exquisite in every detail. From here you can also get a good view of the endless fields of grapes and wine-to-be. Mount St. Odile also offers a pleasant refuge and views from on high.
The Route du Vin is an easy day trip from Strasbourg, though you might wish to spend a few days taking in the many possible sights. Whether you opt to stay in Strasbourg or any of the other towns in the region, they would all serve equally well as a home base. They are connected by good quality country roads which give you pleasant views of the vineyards and other fields. You might even get a glimpse of storks nesting in the area, as they are a common sight.
So, hop in a car, with at least one person who won't be drinking, and check out the "wine route" of Alsace for an experience of wine, history, nature and architecture.