DOA++ was never released to consoles. It was an enhanced version of the PS1 console release only for arcades. The Sega Saturn console version (which came out 2 versions before DOA++) was what was ported to the Xbox system under Dead or Alive Ultimate.
The chronological order is the following:
Dead or Alive (Arcade) > Dead or Alive (Sega Saturn) > Dead or Alive (PlayStation) > Dead or Alive++ (Arcade)
Each were slightly different versions of the previous. Dead or Alive (PS) had the graphics of Dead or Alive++ but the game system of Dead or Alive (SS). Dead or Alive++ was a hybrid of the series between the Dead or Alive system and the Dead or Alive 2 system. Dead or Alive 2 came out 6 months later.
Unlike Dead or Alive (PS), Dead or Alive++ has a 6 point advanced hold in stun and a 2 point normal hold + a 2 point advanced hold out of stun. Performing the high and low advanced holds in stun would perform the 2 point normal holds. Additionally it was the first of the series to make
the standard throw macro, and all offensive holds were set to directional
commands. Just to name a few differences that is.