Preheat the oven to 375°F. Place the puff pastry on a clean work surface, place the smaller tart pan upside down in the center, and cut ¼-inch wide strips all around the edge.
Remove the tart pan, carefully transfer the dough to the larger tart pan, and press it down, with the dough strips hanging over the edge of the pan.
Brush the egg wash over the dough and slightly pull at the hanging strips to make them longer.
Use your fingers to roll up the strips and turn them 90 degrees. Use your thumb to lightly press down until each strip sits on the edge of the dish like a small rose.
Poke a few holes in the dough with a fork and place the smaller tart pan in the center of the dough. Fill the smaller tart pan with baking beans and blind bake at 375°F for about 25 minutes. Remove the smaller tart pan with the baking beans once the crust has cooled.
Melt the white chocolate chips over a hot water bath, add the cream cheese, and vanilla, and mix until creamy. Pour the white chocolate cream over the crust and smooth out the top.
Cut the colorful apples into thin, even slices. Spread out the apple slices in a pan over medium heat, pour the honey on top, and caramelize the apples.
Arrange the apple slices upright in the white chocolate cream in alternating colors. Start at the outer edge and work your way inwards. Make a total of 2 rows of apple slices and place a rose made out of twisted apple slices in the middle as decoration.
Refrigerate the apple fruitatouille tart for about 4 hours before serving.