Technically speaking there is only one maker of .380 +P and that is Buffalo Bore.
Pocket guns can be finicky eaters, my Colt .380s (the inspiration for the 238) have digested the 90gr Gold Dot, 102gr Remington Golden Saber, and the 90gr Hornady Critical Defense well and believe it or not seem to feed the JHPs better than FMJ if it's a flat point FMJ. Round nose feeds fine.
I would probably start with the Hornady Critical Defense, here's a good article on them.
Informal tests: Hornady Critical Defense
There are two schools of thought regarding .380 defensive ammo, one is that FMJ will penetrate deeper, the JHP will clog and not expand, and not penetrate enough. The other is that the JHPs won't clog and they will do the job.
The Critical Defense is made to bridge the two concepts by keeping the cavity filled to prevent clogging, but still allow for penetration and expansion.
In this article by Massad Ayoob, the 90gr Federal Hydra-shok did the job in two shots...the first round was poorly placed.