Preheat a fan-forced oven to 150C / 300F (170C / 340F for no fan). Spray two 20cm / 8-inch cake tins with oil or brush with melted butter and line the bottoms with baking paper.
Heat the chocolate, milk and butter - Add the milk, white chocolate and butter to a heat proof jug and microwave for 2 minutes. Use a whisk or spoon to mix until chocolate and butter are fully melted. You can also do this in a heat proof bowl over a double boiler.
Add remaining wet ingredients - add the sour cream, vegetable oil and vanilla extract and whisk to combine. Set aside.
Combine dry ingredients - Add the flour, baking powder and salt to a small mixing bowl and use a whisk to combine.
Beat the eggs - Add the eggs to a large mixing bowl and use an electric mixer to beat until frothy. This can also be done in a stand mixer with a whisk attachment. While the mixer is on high speed begin slowly adding the sugar. This should take about a minute. Once it’s all in there, continue beating on high speed for about 6 minutes until it’s pale and thick and tripled in size.
Add dry ingredients to egg mixture - Add the dry ingredients to the eggs and use a spatula to fold through until no dry ingredients are showing taking care to scrape from the bottom where the dry ingredients like to hide.
Add chocolate mixture - Add 1/2 of the chocolate mixture. Use the spatula or whisk to gently fold through. Add the remaining chocolate mixture and fold through until the mixture is well combined and even in texture. It will be thin, with a little volume and fall out of the bowl into the cake pans in a thin ribbon.
To finish the batter - Add 1/2 of the white chocolate mixture and all of the oil and vanilla extract. Use the spatula or whisk to gently fold through. Add the remaining white chocolate mixture and fold through until the mixture is well combined and even in texture. This batter is very thin but still has a little volume and will fall out of the bowl into the cake pans in a thin ribbon.
Bake - Split the batter between the two baking tins and bake both cakes in the middle rack for 40 minutes. Once baked, allow to cool in the cake tin until warm, then gently run a knife around the inside edge of the cake to loosen. Allow to cool completely on a cooling rack.