Chill the bowl of a stand mixer, the whisk attachment, and the can of evaporated milk in the freezer for at least 30 minutes. Do not skip this step.
Lightly spray a 9x13-inch baking dish with nonstick cooking spray.
In a medium bowl, mix the graham cracker crumbs and 1 tablespoon sugar. Add the melted butter and mix until fully incorporated with no dry spots. Reserve 1/4 cup of the mixture and set aside. Press the remaining crumbs firmly into the bottom of the dish.
In a medium bowl, cream together the cream cheese and 1 cup sugar with a hand mixer. Add the vanilla and mix until well blended, 2 to 3 minutes. Set aside.
In a separate large bowl, whisk the Jell-O mix and boiling water until dissolved, 1 to 2 minutes. Add the cold water and refrigerate a few minutes while you prepare the rest, but do not let the gelatin set.
Add the chilled evaporated milk to the chilled stand mixer bowl and whip on high until soft peaks form, about 5 minutes.
Add the Jell-O mixture and whisk 30 more seconds. Add the cream cheese mixture and whisk 30 more seconds.
Pour the filling into the pan over the crust and top with the reserved graham cracker mixture.
Chill overnight before serving.