Guilty Gear Xrd. Seriously, this was the first good fighting game on PS4 and should be on the other consoles. This game blows Killer Instinct out of the water, and is almost as good as the older Street Fighter games. Keep in mind that Blazblue, also made by Arc System Works, was multiplatform at one point.
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It was a fun game on ps2, I don't remember which Guilty Gear it was I played with friends, never went competitive though.