A two-day plan: the Old Town and the Rhine on foot, then one outing chosen by what you love.
Summer on the Rhine
Two days is a good length for Basel. The first day is for the Old Town and the river, all on foot. The second is for one outing chosen by interest, with time left to wander.
MorningStart with coffee on Spalenberg, then walk down through the lanes to Marktplatz. Step into the Rathaus courtyard to see the painted arcades.
Late morningCross the Mittlere Brücke for the view along the river, come back and climb the Rheinsprung lane to Münsterplatz.
MiddayThe Münster and the Pfalz terrace above the Rhine. Climb the tower if it is open. Lunch in the Old Town.
AfternoonOne museum in the centre: the Kunstmuseum for painting, or the paper mill in St. Alban for something hands-on. Or walk up to Spalentor instead.
EveningIn summer, a drink on the Kleinbasel riverbank. In winter, a glass of wine at the top of Spalenberg. Dinner in the Old Town.