Beat cream cheese at medium speed with an electric mixer until smooth. Add sugar and vanilla; beat until blended. Add eggs, 1 at a time, beating well after each addition. Stir in melted white chocolate.
Place phyllo shells on baking sheets. Spoon 1 teaspoon filling into each shell (do not overfill). Sprinkle each with 3 or 4 chocolate morsels. Bake at 300° for 18 minutes or until set. Cool completely; chill until ready to serve. Store in refrigerator.