Whatever the religion or whoever they're dedicated to, shrines have a way of making you contemplative. Check out Higashikano Shrine and share a moment of silence with the local faithful.
When you've finished up at this Uraga sacred place, why not check out Miura Kaingan Beach, Yokosuka Arts Theatre, and Mikasa Park? They're not very far from Higashikano Shrine and also a hit with many travelers.