In A Hat In Time players play as Hat Girl, a top hat wearing child captaining her own ship from world to world on her own. As the game starts, you encounter a bald mafia man knocking on the outside of your windshield and demanding you pay a toll for occupying his planet’s airspace. When you refuse, he smashes the window, sending you, along with 40 hourglasses that power your ship, falling towards the planet.  To make it back home, she must venture down to the surface and collect all the time she lost.