Besides the typical old shrines and Temples, you can find a giant Buddha, and a small Island (Enoshima) in the area.  

One can take one of several JR lines to get to Kamakura station, but the truth is, there's not a lot there.  From Kamakura, though, you can get on the old, yet charming local train.  This train (denentoshi line)  runs about every 15 minutes, and is slow, but it has a great view of the ocean, and it stops at about 10 places between Kamakura and Fujisawa.  You can gat a train pass that includes round-trip from Tokyo and unlimited local travel in Kamakura for about 1500 yen.

The Budha pictured at the right is one of the major attractions, but besides that, there are many temples and such, as one would expect.  Local food spots abound, and things like Senbei crackers are sold on the street.  If you know where to talk, you can easily head to the ocean from some of the stops, where you can often see surfers and swimmers having fun.