Besides the Seacoast, which you can see anywhere in the world, touristy places in New Hampshire start NORTH OF CONCORD.
They tend to revolve around two major geographical locations. The White Mountains and Lake Winnipesaukee.
Here are some of my favorites.
Mt. Washington Auto Road.
Mt. Washington Cog Railway. (Book tickets in advance) Sells out.
Mt. Washington Cruise (200+ foot boat that traverses Lake Winnipesaukee) base out of Laconia.
Castle in the Clouds. Amazing view of Lake Winnipesaukee where you’ll hear the riches to rags story of Thomas Plante.
Clark’s Trading Post. (Really designed for kids, but the trained black bear shows are awesome.)
If you have children, Story Land and Santa’s Village are both terrific.
Good luck and enjoy your visit.