I have had a Bersa Thunder .380 for several years now.
The good:
-Very reliable. When I first got it, it did something funky the first 100 or so dry fires (I don't remember exactly what it was, and it wasn't every trigger pull) but it has never failed when actually shooting live ammo, and it hasn't had a dry fire failure since trigger pull 75 or 100.
-It is a decent size for the caliber. Most .380s (including the Bersa) are blowback guns, this can translate a lot of recoil to your hand and make them uncomfortable to shoot. This isn't the case with the Bersa, recoil is fine (comfort will be addressed in the cons). The size also makes for a decent sight radius, but it is still fairly small and concealable.
-Trigger pull is decent.
-The way it fits my hand is pretty good for a small gun.
-Price. It is hard to find a gun that works this well for anywhere near this price (pretty much everywhere they can still be had for under $300).
Negatives:
-Comfort. While recoil isn't bad, there are sharp corners and spots on the gun. The design of the beavertail is such that it rubs the web between my finger and thumb raw and sometimes cuts it in as little as one box of ammo. This makes practice very uncomfortable.
-Size. It isn't much smaller than many of the smaller 9mms, and it is bigger than some. You can get much more gun without losing on size, though not without usually having to spend more (even the Taurus PT111 is $50-100 more, only the Kel-tec 9mms are basically the same price). However, you can get a much smaller .380, actually a pocket gun, for similar prices (I'm basing this on the Thunder .380, the Bersa Concealed Carry may not be significantly larger than the Kel-tec P3AT or Ruger LCP).
Overall assessment. They are good guns. They are very reliable, and the accuracy is acceptable to good. However, I don't like mine much. Its size is awkward- not small enough to be a pocket gun, it isn't much smaller than many 9mms and .40S&Ws and for IWB or belt carry I'd rather have something a tad bigger in a more capable caliber (and for a bit more money you can even go smaller and 9mm or .40S&W). Mine is uncomfortable to shoot, sometimes my hand is bleeding after a range trip with it. If you are on a strict budget it is a good gun (though if a smaller .380 pocket gun won't be too uncomfortable for you I suggest checking out the LCP, P3AT or even Bersa .380 Concealed Carry instead), but just a little more can get you something far more capable in a more potent round (the Taurus PT111 and PT140 Millennium Pro isn't that much more, the Kel Tec P11 and PF9 are about the same). Basically, all this has translated to it not even leaving my safe for a dry fire session in a year or two and it hasn't been to the range in at least 3 or 4 years, maybe as much as 5 (I still have a box of UMC ammo for it from when they were in the yellow boxes with black lettering).