Preheat oven to 350°F (175°C) and line a 9x13-inch baking sheet with parchment paper. Beat eggs and sugar until fluffy and pale, add vanilla. Sift in flour, baking powder, and salt, folding gently. Add milk and fold in chopped strawberries. Spread evenly and bake for 10-12 minutes.
While warm, roll the cake (with parchment paper) into a log shape and let it cool completely.
Beat cream cheese, powdered sugar, and vanilla until smooth. In another bowl, whip heavy cream until stiff peaks form, then fold into the cheesecake mixture.
Unroll the cooled cake and spread an even layer of cheesecake filling. Gently roll it back into shape, wrap in plastic, and chill for at least 2 hours.
Mix crushed Oreos, strawberry gelatin powder, and melted butter until crumbly.
Coat the roll with extra cheesecake filling, then sprinkle the strawberry shortcake crumble. Top with whipped cream, strawberry sauce, and fresh strawberries. Slice and enjoy!