Lightly grease a 9-inch springform pan and line the bottom with a circle of parchment paper; set aside.
Preheat oven to 350F and place a shallow pan of water on the bottom rack.
Using an electric mixer, beat cream cheese until very smooth. Add sugar, vanilla, lime zest and juice and beat well for 4-5 minutes more. Add eggs, one at a time; mix well, and add sour cream.
Pour filling over base and bake until just set, approximately 50 minutes. To help prevent cake from cracking, let cool in oven with heat off and door ajar, cover carefully with plastic wrap and refrigerate until firm. To serve, release cheesecake from,springform pan and slide off of parchment paper onto a serving platter.
Garnish with toasted coconut and slice with a hot dry knife.