Yes, they do change, although the change over time has been a dramatically shortening list. Years ago the selection was much larger (this is from 1997):
Arizona Biltmore, Phoenix, AZ
Big Cedar Lodge, Ridgedale, MO
The Broadmoor, Colorado Springs, CO
The Sagamore, Lake George, NY
Boston Harbor Hotel, Boston, MA
The Dorchester, London, England
The Jefferson, Washington, D.C.
The Plaza Hotel, New York, NY
Royal Garden Hotel, London, England ight)
The Whitehall Hotel, Chicago, IL
White Swan Inn or Petite Auberge, San Francisco, CA
Hotel Jerome, Aspen, CO
Keystone Resort, Keystone, CO
Stein Eriksen Lodge, Deer Valley, Utah
Topnotch at Stowe Resort and Spa, Stowe, VT
The American Club, Kohler, WI
The Equinox, Manchester Village, VT
Grand Hotel, Mackinac Island, MI
Juniper Hill Inn, Windsor, VT
Windham Hill Inn, West Townshend, VT
The Woodstock Inn and Resort, Woodstock, VT
Claremont Resort and Spa, Berkeley, CA
Doral Golf Resort and Spa, Miami, FL
Shutters on the Beach, Santa Monica, CA
Tanque Verde Resort, Tucson, AZ