Spill is used after these nouns:
oil, tanker

almost
accidentally
out, over
After the clubs closed, the drinkers spilled out into the streets.
He nodded, his tears spilling over.

try not to
let sth
He opened the curtains, letting the morning light spill into the room.

across, down, from, into, on, onto, out of, over
I accidentally spilled my drink all over him.

Spill is used with these nouns as the subject:
beer, tanker, tear, water

Spill is used with these nouns as the object:
beer, blood, content, detail, drink, ink, juice, liquid, milk, soda, water