North Norfolk has always been beloved by a certain kind of low-key, stylish city dweller, from Jonathan Anderson to Paula Sutton of Hill House Vintage—and now, it seems the secret is out.

For more of the best beaches in Norfolk, see our guide. Take your pick of the area’s best stately homes: Holkham Hall is an 18th-century Palladian mansion in a large estate; Houghton Hall has ...