The only real way to visit the town is to stroll the streets.  You will see as you go:

• the historic uppertown
• St Peter's Cathedral with it's restored Romanesque facade, a must
• the town hall now housed in the Castle
• the 19th century covered market.  
• the painted murals tour, about 20 facades painted by notorious comic strip authors. At the tourist office you will find sight itineraries.  In the summer "Via Patrimoine" also organizes guided cycling trips.
• The Angoulême Fine Art Museum: a good variety of 16th to 19th century paintings as well as archeological finds.
• Paper museum "Le Nil" reflecting an important paper making industry
• The CNBD "Cité International de la Bande Dessinée et de l'image" an important comic strip center in a contemporary building assimilating older elements. www.citebd.org        05 45 38 65 65
• The Gabare House in the village of Saint Simon, an originally 18th centruy house in which you will find a delightful evocation of the boat making industry.  The gabares are the flat-bottomed sailing barges originally used to ship local products.  It is now possible to rent one for a rive cruise.  Association Saint Simon Village gabarier   05 45 97 33 40