I've got an LCP of each model illustrated by WVsig's nice pics.
The first version is a surprisingly accurate little plastic .380 pistol, even with its rather rudimentary fixed sights.
The newer version (stainless slide) offers fixed sights that are a bit easier to see, although the angle of the rear of the slide and rear sights can reflect some bright light, making it harder to acquire them. Taller front sight post, though. I've added a dab of nail polish to the front posts, and in the bottom of the rear notches, of my LCP's, making it easier for me to see them.
The trigger/hammer design revision of the newer LCP does make it easier to run the little gun, compared to the previous model, and I found it even easier to use on a standard 3-15yd qual course-of-fire than a couple of my well-used S&W J's. Nice.
I let one of the other instructors try the new one the other day, as he's thinking about replacing his S&W Bodyguard .380 as a secondary & off-duty weapon. He owned an earlier version of the LCP before he bought the Bodyguard, and he was very pleasantly surprised by the revised LCP.
If someone hasn't used such a diminutive .380 before, it might be prudent to try and find one to rent and try out on the range. I've seen some guys with really large hands unable to manipulate it well, and watched one guy with hands that weren't all that large have some issues, due to his grip. His thumb repeatedly - and unintentionally - rubbed the slide while he was shooting it (with his high thumb position), causing repeated stoppages due to his thumb's pressure slowing the movement of the slide. Once I pointed out his thumb placement problem, and he moved his thumb away from the slide, the little LCP ran fine in his hand.
I've tried 4 or 5 different major American maker JHP's in my own LCP's, and all of them have fed, fired, extracted & ejected normally.
Handy little .380's, and the first one's I've owned in more than 25 years, since trading off a Beretta M84. I usually carry one of them as one of my LEOSA weapons when making road trips out-of-state. I use a carefully trimmed Hogue Handall Jr grip sleeve on mine, just to give me a slightly wider & "stickier" grip profile, and the single finger groove located under my middle finger is comfortable, too.