Preheat oven to 400 degrees and line two baking sheets with parchment paper.
Combine goat cheese, shallot, garlic, thyme, salt and pepper in a bowl. Mix well.
One sheet at a time, cut puff pastry into 16 rectangles. Place on the parchment-lined baking sheets. Using a fork, dock the center of each puff pastry rectangle (poke a few times with the tines of the fork).
Evenly divide the goat cheese mixture between the centers of the puff pastry rectangles, about 1 teaspoon per piece. Place the pear slices on top of the scoops of goat cheese, about 1-2 slices per pear.
Bake until the puff pastry is golden brown, about 40 minutes, rotating the pans halfway through.
Transfer to a serving platter, drizzle with honey and garnish with extra pepper and thyme sprigs and serve!