Frankfurt

Mainz — Gutenberg's home on the Rhine, with a well-preserved old city, 45 min. by S-Bahn S8

Wiesbaden, wealthy historic spa city and state capital, 45 minutes by S-Bahn S1, S8, S9 or 35 min. by SE10 from Hauptbahnhof

Rüdesheim am Rhein – at the southern end of the Rhine Valley and the Rheingau, 73 min. by SE10.

Darmstadt — former residence of the duchy of Hesse, picturesque old town, art nouveau architecture

Bad Homburg — spa town with close by old Roman fort Saalburg (http://www.saalburgmuseum.de) that is on the UNESCO heritage list

Bad Nauheim — art nouveau buildings and place where Elvis Presley stayed while in the Army 1958-1960

Heidelberg, with famous castle and charming old town, 55 min. by IC.

Cologne, home to the Cologne Carnival and a famous cathedral, 1 hour by ICE

Büdingen: medieval city center

Hiking

If you're keen on hiking, head out to the nearby Taunus mountains, the Vogelsberg an extinct volcano, or the Odenwald.