To tack on to what @strasa said, you can view Blades in the Dark's core resolution mechanic as a on the fly custom move generator with the back and forth about position and effect.
And I also would not discount how heavy of an influence I feel Burning Wheel has been on Blades and thus subsequent FitD games. Its got the core of reflecting on "beliefs" as a major drive, two of the three xp triggers for characters are about that tension.
It is much less obvious than the more appearance-leaning bits like playbooks, which I feel are very much smoke and mirrors for accessibility's sake (like, nothing actually breaks if you mix and match different xp triggers, special abilities, items, contacts, gather info questions... it would just be a lot to take in if it came presented in that modular way).
Then there is also the thing where most PbtA games tend to revolve around 8-12 session campaigns and FitD easily goes for 20+. One is not better than the other but its a major difference in my mind.