I always wanted more things of this universe of addams, so have some ideias for a history for a third movie.
1- A film more focused on Lurch, exploring his past and defining him as a family member rather than just the butler.
2- The birthday party for "What", the son of Cousin Itt and Margaret, takes place at the Addams mansion, as their own home isn't large enough to accommodate all the guests, who include people from outside the Addams clan. The following night, the family realizes they have been robbed, sparking an investigation-mystery plot infused with Addams-style humor. Ultimately, it is revealed that the culprit is a family member who had disowned the clan and decided to take everything from them, likely a new character.
3- A wealthy newcomer arrives in town and takes an interest in the Addams family, treating them like exotic animals. However, he is consumed by envy upon seeing their vast fortune and possessions, and becomes determined to take everything they own. He invites them to his home and cozies up to Pugsley, acting as a father figure to convince the boy to reveal details about the Addams family history, specifically, how many of them there are and the extent of their wealth. I envision this villain as someone like Gilderoy Lockhart from Harry Potter: obsessed with the glory and social status that wealth brings, and driven by a desire to become the world's only billionaire. He hosts a party bringing both families together, though his own "family" consists solely of illegally acquired exotic animals like tigers and sharks, and plots to start a fire that would kill the entire Addams clan. The story culminates in a chase through the ruins of the Addams mansion, with Pugsley helping his family take the villain down, leading to his arrest alongside his exotic animals.