For a lot of fun, 'Pet Photo Contest' can be played on IG story. Ask your followers to submit photos of their pets. Then you can create polls in your stories to vote for the cutest pet. It's not only fun but also a great way to see all those adorable furry friends. And 'Book Recommendation Game' is also cool. You can ask your followers to recommend a book based on a certain genre or theme you mention in your story.
One of the top games is 'Story Scavenger Hunt'. You can start by posting a clue in your story, like 'I'm thinking of something that's red and round in my room'. Then your followers have to keep an eye on your subsequent stories for more clues until they can guess what it is. 'Funny Face Challenge' is also quite enjoyable. You make a really funny face in a photo or video and ask your followers to do the same and share it in their stories, tagging you.