Ryosen-ji
The temple of Ryosen-ji is a 25-minute walk south from the station. A supplementary treaty to the Kanagawa Treaty was signed here by Commodore Perry and representatives of the shogunate. Next to the temple is a museum with exhibitions about the arrival of foreigners in Japan, and even a collection of erotic Buddhist art. Admission to the museum is ¥500. Another temple, Choraku-ji, is close to Ryosen-ji and also worth a visit. It is the site of a trade treaty between Japan and Russia, signed in 1854.
Mount Nesugata
A cable car takes you to the top of Mount Nesugata, 200 meters above sea level. From there you get a great view of Shimoda and you can also explore a small park with a temple. The price for a return ticket is ¥1200, including admission to the park. A printable discount ticket (http://www.ropeway.co.jp/...) is available on the cable car's official site. (http://www.ropeway.co.jp/)
Shimoda Park
Is near the port, a 20-minute walk from the station. you can also take a bus headed for the shimoda aquarium which is next to the park. the park features a 1957 monument of the opening of us-japan diplomatic relations, and plenty of flowers including thousands of hydrangeas that bloom in june.