My pick would be the dragoon. There's probably an anime or comicbook character that can outdo it, but for videogame primary character I can't think of one.
"The dragoon moves at an average of 249.408km/h over a distance of 51.96 meters (including both ascent and descent) with an (estimated) acceleration rate of 1154.7m/s2, landing with a force of 121,240 newtons - just under half of a car crashs force."
So roughly an 85ft high jump if the guy's math is right.
Also the FFT lancer's movement ability is called Ignore height. The game's limited by its art style but they could theoretically just casually leap onto any surface whether its two feet or twenty thousand feet in the air.
Was going to post this. Dragoons are known for jumping. ---
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