Preheat the oven to 400°F and line a baking sheet with parchment paper.
Remove the puff pastry sheet and gently roll it out to a 10" x 12" rectangle. Cut each piece in half lengthwise, and then cut each strip into 3 squares.
In a bowl, beat the cream cheese, sugar, and vanilla until creamy; set aside.
In a small bowl, mix together sliced strawberries, sugar, and cornstarch.
With a sharp knife or pizza cutter, score the edges of each piece, about ½ inch from the edge, without cutting all the way through. Arrange the pieces on the baking sheet.
Spread the cream cheese evenly into the center of the Danish, keeping the edge clean.
Add a few slices of strawberries to each puff pastry square, being careful not to add too much juice.
Brush the edges with the egg wash.
Bake at 400°F for 10-12 minutes or until the edges are golden brown.
In a small bowl, mix together powdered sugar and lemon juice until a thick glaze forms.
Once the danishes are cooled, drizzle the glaze all over the danishes.