There are many wonderful dining options in Palm Beach, starting, of course, with the Ritz-Carlton. Here's a brief rundown of surrounding areas and what you may find interesting there.

Del Ray:  South  (20 minutes from Ritz)
Atlantic Avenue - (Younger Crowd)
Not as expensive as Palm Beach
Lots of Shopping/Restaurants/Walking Around
Night Life - (Lots to walk around and do at night)
Recommended Restaurants:
32 East
Tramonti  (Best Italian)

Palm Beach:  North (20 minutes from Ritz)
Worth Avenue:  High end shopping;  Designer Shops
Neiman Marcus/Saks/Louis Vuitton
High End Restaurants
Flagler Museum
Recommended Restaurants:
Café L'Europe (Best Restaurant in Palm Beach)
Café Boulud (#2)
Charley's Crab (Best Seafood in the County)
Chez Jean Pierre- (Very Good French)
Cucina del Arte- (Younger Crowd; very good food)
Echo
Palm Beach Grill (Owned by Houston's - Very Difficult to get reservation)

City Center (Downtown Palm Beach)
Clubs on Clematis Street
Shopping
Casual Restaurants
Nearby Shopping:
Boca Towne Center-Mall