A droll yarn. 'Droll' implies something that is both odd and amusing. A droll yarn could be a story told by an old sailor about his strange encounters at sea, with strange sea creatures and unexpected events that are both strange and funny.
A humorous tale.
A droll yarn. 'Droll' means odd or whimsical in a funny way, and 'yarn' is another word for a story. So a droll yarn is a good alternative for a funny story.
A humorous tale could be another way to say it.
A humorous anecdote. It's a short and often funny account of an event or incident.
Jokes. Jokes are short and humorous tales or statements that are meant to make people laugh, just like funny stories.
Denouement. It is a French term that has been adopted into English to specifically mean the final part of a story where all the loose ends are tied up, secrets are revealed, and the story reaches its final resolution. It often comes after the climax of the story and is a more literary or sophisticated way of referring to the end of a story.
An excellent yarn. This is a more informal way to say a good story. For instance, sailors used to tell excellent yarns about their adventures at sea.
Well, another word could be 'recount'. When you recount something, you are basically telling a story. For example, you can recount your adventures during a trip. It implies that you are going through the events in a sequential way, much like when you tell a story. You might share the details, the people you met, and the things you did.
Recounts. When you recount something, you are giving an account of it, which is another way of saying you are telling the story. For instance, a veteran might recount his war experiences, meaning he is telling the story of his time in the war.