Place a 9x13 baking pan in oven; fill with 1/2" water; preheat oven to 350°.
Heat cream over low heat until bubbles form at edge of pan; beat egg yolks and sugar until thick, about 3 minutes; add cream slowly while beating; add vanilla.
Place six 6 ounce custard cups in water bath; pour custard into cups; bake until set, about 45 minutes.
Refrigerate until chilled; sprinkle each cup with 2 tsp sugar; place on top oven rack and broil until medium brown, 1-2 minutes, or use a mini torch to brown sugar; chill and serve.