Shaquille O'Neal channeled his inner Steph Curry during a recent game of H.O.R.S.E. with his family -- drilling a long-distance shot from OVER HIS OWN HOUSE ... and thankfully, there's video evidence.

O'Neal was out with 4 of his kids -- Me'arah, Mimi, Shaqir and Shareef (they're calling themselves the "true and humble family of Big Baller Brand") ... and they all can shoot!!

Especially Big Shaq ... who whiffed the first shot -- but came back strong with the second!