The art was always anime, not that I really knew what that was back then. What I'm saying though is that the sprites were just the sprites, and as relatively detailed as they were, they were still their own thing distinct from anime. There was space there for you to fill in the blanks, or at least not be overpowered by an exact portrayal of a style that you may or may not like. If the game came out today, it would look just like an episode of DBZ, and I find that infinitely less appealing than the sprite work it has due to coming out in '95 (or whenever that was).
But that's just your interpretation. Chrono's sprite looked like a DBZ character. It just seems to me as if you weren't exposed to very much anime and so didn't think it looked like a lot of other stuff out there. It did. It's just that the "blanks" for you hadn't been filled in by stuff that already existed, but for me, they had been and that's what I saw. Anime got more popular and you yourself had more references from which to draw.
For an example of what Chrono might have looked like on current gen stuff, look at Blue Dragon