Unfold and lay the thawed Puff Pastry sheets on lightly floured baking sheets. Use a knife to cut along the fold marks to create three equal-sized pieces. Cut each strip in half to make a total of 12 rectangles.
Arrange the puff pastry rectangles on a large, ungreased cookie sheet fitted with a silicone baking mat leaving at least 1-inch of space between each rectangle.
With a knife, lightly score a border around the entire edge of each pastry rectangle, about ¾ inch away from the edge. Use a fork to poke a few holes into the center area of each pastry. (This allows the outside border to rise and puff up while the center doesn't rise as much and holds the filling.)
In the bowl of your electric mixer fitted with the paddle attachment, mix cream cheese, 2 tablespoons honey, and egg until smooth.
Spread one heaping tablespoon of cream cheese filling on each puff pastry piece and spread evenly in the inside scored rectangle. Top with a few slivered almonds.
Bake for 16 to 20 minutes, or until lightly browned. Remove baked danishes from the oven and drizzle the remaining 2 tablespoons of honey over the top.