The Browning BDA 380 is a really nice gun, made by Beretta, accurate and reliable. But given a choice between a Browning BDA 380 and a Beretta 84, it would be the Beretta every time. Why, because the Beretta 84 has real sights. The Browning has the ancient obsolete half moon front sight. When I was young and had excellent eye sight the BDA was a cool gun.
Now if I couldn't find a beretta 84 I'd get a CZ83 or a CZ 82. Most CZ 82s don't look great, some don't like the 9x18 round, but its really one of the best deals on the market. The are reliable have an outstanding trigger,not just for a surplus pistol but andy D/S action pistol.
But the truth of the matter is for a gun that size, I'd rather have a S&W 3913 in 9mm or a Glock 26. Better round, better sights, and less recoil because of the locked breach.