I've owned full-sized government models in .45, 9mm and .38 Super (my favorite) and only had feeding problems now and then with .45 reloads. I had a Star 9mm that would not feed hollow points but would work with lead reloads, even including 158-grain 9mm hand loads.
I like the .22 Browning but I just realized I haven't been in a gun shop since before Christmas. Where does the time go? While a .380 version makes a lot of sense, I'd be happy with a .22. If I could only afford one. When I get an itch to buy something really bad, that's when I have to sell something. I don't think I've owned anything that I wish I could have kept but didn't.
The .380 ACP is closely related to the .45 ACP, design-wise. The .32 ACP is closely related to the .38 Super. There is a 9mm Browning Long, too, and I suspect it may be like the .380. Both the .32 ACP and the .38 Super (and .38 ACP, same case) are "semi-rimmed."