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Preheat oven to 350 degrees and line a 9×13 inch pan with foil or parchment with plenty of overhang around the edges to lift the bars out of the pan before cutting.
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Prepare the crust by combining flour, sugar, salt, and butter cubes in a food processor or blender. Cover and pulse until fine crumbs form. (You can also do this with a pastry cutter, fork, or with your fingers in a large bowl.)
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Press crust into prepared pan and bake for 10 minutes while you prepare the filling.
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Prepare the filling by combining cream cheese and sugar in a large bowl. Cream together until smooth. Mix in flour, powdered sugar, lemon juice, eggs, and vanilla until completely incorporated.
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Pour filling over crust and return to oven for 30 minutes.
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Allow to cool for about 20 minutes, then cover and transfer chill in the fridge 4 hours or overnight. Lift the foil edges to remove the bars from the pan, slice into squares, sprinkle with additional powdered sugar, and serve.