The Church has built many buildings besides chapels throughout its history--relief society halls, schools and seminaries, and even separate cultural halls (see, for example, the Harold B. Lee Hall in Salt Lake). One example of a separate recreation/cultural hall is in the small town of Teasdale. It was originally known as the "dance hall."
It has a very unique design. It was built in 1918. You can see there have been a couple of additions--the one on the left is a small lobby that houses artifacts; the one on the right is a kitchen and restrooms. The rest of the building is a recreation hall (with a basketball court).
Here's a peek at the lobby on the west side:
The Church put the hall up for sale in 2017. An interim buyer purchased it, and now the Teasdale Historical Society is raising funds to preserve and restore the building.