Preheat oven to 300°F (150°C). In stand mixer with the paddle attachment, beat the egg yolks and sugar together until light. Use a whisk and bowl if no stand mixer. Warm cream and the other tbsp of sugar in a saucepan, being careful not to boil. Remove from heat and stir in vanilla extract.
Add ¼ cup of warmed cream into the beaten egg yolks and stir to combine with a wooden spoon. Pour the rest of the cream into the bowl. Stir.
Bring a small pot of water to a boil. Pour custard into four 5-or-6 inch ramekins or a single oven proof serving dish. Place on the roasting pan and put in oven. Pour in enough of the boiling water into the pan to reach halfway up the sides of the ramekins or dish. This called a bain marie.
Bake for 45-50 minutes until center barely sets. Remove from oven and let cool in its water for another 10 minutes. Remove from pan and allow to cool completely. Cover with plastic wrap and refrigerate for at least 3 hours and even up-to a few days.
When ready to serve, remove from refrigerator and lightly pat down tops with a paper towel. Sprinkle 1-2 tsp of sugar evenly over the tops. Place in a broiler 2-3 inches from heat. Turn on broiler and broil until sugar melts and browns, about 5 minutes. The sugar should form a hard cover across the top of the soft custard. Burnt tops are fine as they offer a nice flavor and great surface to crack with a spoon to get to the creamy custard lying below. Serve immediately or within 2 hours.