In a mixing bowl, combine the cooled brewed coffee, sugar, and vanilla extract. Stir until the sugar is dissolved.
In a separate bowl, whip the heavy cream until soft peaks form.
Gently fold the whipped cream into the coffee mixture until well combined.
If using, add the coffee liqueur and stir gently to incorporate.
Spoon the mixture into serving glasses or bowls and refrigerate for at least 2 hours, allowing it to set.
Before serving, dust the top with cocoa powder for garnish. Enjoy chilled.