If you type “belt pouch” into amazon, you’ll find a ton of options. I tend not to get things too big or that mount vertically as the height can interfere with sitting, e.g. in a vehicle.
Before I found the Maxpedition AA battery pouch (for smaller EDC items) I used a horizontal mounted camera case. You can find them pretty inexpensive online or places like Wmart or BB on sale. My favorite are the LowePro cases, and have carried smaller cameras this way while traveling.
My favorite of the LowePro are clamshell cases that mounted vertically with dual zippers, as it kept it’s shape and the belt loop was generally a but more reinforced. The design limited how far the clamshell would open so things wouldn’t fall out if unzippered all the way, and zippers also offered a smooth and quiet opening and closing option. The downside was that the pullers on the two zipper would clang against eachother while walking.
Their softer cases work too, but the materials and beltloop are noticeably lighter material.