Depends on your idea of fun. I love the restaurants and old world vibe in Portsmouth, great walking city. Concord isn’t far from the lakes, as many mentioned Meredith/Laconia. Tax free Outlet shopping in Tilton (closest) or Conway (better) and Merrimack (eh). Hiking you have tons of options, white mountains, patuckaway isn’t too far. For a traditional east coast small city Manchester is a quick ride south and has a strong selection of bars and restaurants, live music.

Hope you enjoy!