Make & cool the raspberry sauce: Mix 1 teaspoon water with cornstarch in a small bowl. In a saucepan, combine raspberries, granulated sugar, and remaining water over medium heat. Stir until simmering, add cornstarch mixture, continue to stir for 3 minutes, strain, and cool.
Preheat oven to 350°F (177°C). Line a 9-inch square baking pan with parchment paper.
Make the crust: Pulse Oreo cookies into fine crumbs, combine with melted butter, press into prepared pan, and bake for 8 minutes.
For the filling: Melt white chocolate in a double boiler or microwave until smooth, then let cool.
In a bowl, beat cream cheese and sugar until smooth, add flour, lemon juice, vanilla, and salt; beat in eggs one at a time, then add cooled white chocolate.
Pour half of cheesecake filling onto the crust, drizzle with half of the raspberry sauce, spread remaining filling, drizzle remaining sauce, and swirl together.
Bake for 32–36 minutes until set; cool for 45 minutes, then chill for at least 3 hours.
Lift out of pan using parchment overhang and slice into squares.
Store leftovers in the refrigerator for up to 1 week.