^^^ The CZ 83 is almost directly comparable to the Beretta 84, which is the double-stack version of the 85 and the gun the BDA .380 is based on.
FWIW if you're comparing new-production guns, the safety on the CZ is just that; it locks the hammer but does not decock it. The current-production FS and previous F model Berettas have a decocker/safety that drops the hammer
and disconnects the trigger. (The F decocker/safety will "hang" in the middle of its travel before decocking the pistol, but the pistol is not truly on-safe in this position; Beretta fixed this on the FS.) The earlier Beretta BB, B, and no-suffix models have a safety but no decocker, just like the CZ.
FWIW there are two Brownings referred to as the "BDA":
- The BDA 9, a double-action 9x19mm Hi-Power variant
- The BDA .380, basically a Beretta 84F/FS with a slide-mounted decocker/safety, a different hammer spur, and a closed-top slide with a conventional ejection port
Some newer Browning sales literature drops the ".380" suffix when describing the latter pistol, but I prefer to keep using it to distinguish it from the 9.