These two cities might be easier to find accommodation in when Frankfurt gets busy. You can reach Frankfurt from them in 35 mins with the S-bahn, which is very practical. They are also very close to Frankfurt International Airport.
Mainz is a university town, well known for its Gutenberg Museum (with the first edition of the Bible ever printed) and for its beautiful cathedral. It is also set along the Rhine and is a good departure point for Romantic Rhine excursions.
Wiesbaden is a former thermal town, very pleasant and chic with beautiful houses and a great town centre.
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