Sagas is my clear winner too. It manages to make appeasing the player by doing what the character wants a mechanical system that bring the players and characters together in the same little game.
I like Monsterhearts 2e Strings, they’re way simpler and closer to Sagas.
You’re right re: Urban Shadows and Debts. I’m starting to drift that system a bit to see if I can get more Debts flying around.
While I’ve never played it, Masks looks like it could hit a sweet spot here – between Provoke Someone / Comfort and Support you end up with this neat way to mechanize social interactions to keep your actual stats where you want them.