Remove the pans from the oven and let the cakes cool completely on a wire rack. This is a good time to clean up the kitchen or pack lunch for the next day while you wait.
Once the cakes are cool, prepare the vanilla pudding: In a large bowl, whisk together the two boxes of instant vanilla pudding mix with 4 cups of cold milk. Whisk for about 2 minutes, until it thickens slightly and is smooth with no lumps.
Working quickly before the pudding sets too firmly, spread half of the pudding evenly over the top of each cooled cake. Use a spatula to push the pudding all the way to the edges and smooth the surface.
Cover both pans tightly with plastic wrap or lids, then refrigerate for at least 1–2 hours, or until the pudding is fully set and the cake has chilled. This rest time lets the cake and pudding meld together into a soft, creamy dessert.
Slice each pan into 6 squares (or smaller pieces if serving a crowd) and serve chilled straight from the pan. Store any leftovers covered in the refrigerator for up to 3 days.
To keep things easy but still fun, you can tweak this 3-ingredient vanilla pudding cake a few different ways. For a fruity twist, layer sliced strawberries, bananas, or drained canned pineapple between the cooled cake and the pudding before chilling—this is especially nice in the summer and makes it feel like a light trifle. If you want a little crunch, sprinkle crushed vanilla wafers, graham crackers, or a handful of chopped nuts over the top of the pudding right before serving. You can also swap the vanilla pudding for another flavor, like cheesecake or banana cream, while keeping the vanilla cake base. For a slightly fancier look without extra work, spoon the chilled cake into small jars or cups for individual servings, layering cake chunks and pudding like parfaits. Time-saving tip: bake both pans the night before, then add the pudding in the morning or during a quick break—by dinnertime, dessert is ready to go with almost no hands-on work.