This sprawl of pebble beaches and zillion-dollar houses has always captivated sun lovers and socialites. Today's admirers know not to miss the Côte d'Azur's textbook points of interest: animated St-Tropez; the Belle Époque aura of Cannes; the towns made famous by Picasso—Antibes, Vallauris, Mougins; the urban charms of Nice; and a number of spots where the per-capita population of billionaires must be among the highest on the planet, including Cap d'Antibes and Villefranche-sur-Mer.