Personally I don't print too many things made by other people. The whole point of a 3D printer is infinitly custom parts (within constraints).
So my process is usually running into a problem around the house and printing something to fix it. Or something I wished worked slightly differently and printing something to change it.
For example, I had drawer inserts that kept sliding back when I opened and closed the drawer, I printed a spacer to take up that room. My partner wants to feed his aquarium nori but I hate getting my fingers wet, so I printed a hanger for nori. My tea cabinet was disorganized so I designed a tesselated holder specifically design for the tins I use.
None of this is usually useful to other people, none of these came from other people. Let your printer set you free