Maybe a family gathering. For example, having a barbecue in the backyard. All the family members coming together, sharing stories, and playing games. It's a great element for a weekend short story. There are also things like going to a flea market and finding a unique item that has a story of its own. That would make for an interesting addition to the story as well.
You can include a new place you visited like a local coffee shop. Meeting new people there, having an interesting conversation with them could be part of it.
An unexpected event can be interesting in a weekend short story. For instance, you were just walking on the street and suddenly there was a street performance. The performers were really talented and you were captivated by their show. Or perhaps you joined a community event like a charity run which was a new and exciting experience for you during the weekend.