I still start with a noun. Next person picks another noun and write sentence about how their thing interacts with mine. The person after that writes a sentence about a new noun that interacts with the previous on.
Only include two nouns, one that you pick and one that previous guy picked. Only include one action, but it can be whatever action you want. After a long chain someone can restart the game. Just write a single word to start a new one.
Example:
Me - apple.
Person 1 - My unicorn ate Extreme-Boredom's apple.
Person 2 - My hunter shot Person 1's unicorn.
Person 3 - My frying pan hit Person 2's hunter on the head.
Person 4 - My maple syrup covered Person 3's frying pan.
Starting word: head
I smashed Extreme-Boredom's head with my hammer