PbtA means “Powered by the Apocalypse” — games inspired by Apocalypse World, as self-identified by their creators.
I don’t really get this obsession for “system” that some of the community has.
A system is there to support a lore, to take a cliché example, if you want character being normal human dealing with cosmic horror D&D is a bad choice, but if you want zero to hero campaign with character having Dragonball like power where they can destroy a whole planet with their fist, Call of Cthulhu won’t be a proper choice. Then the GM can really turns a good game into a bad campaign and the other way around.
With the amount of “PTBA” games (with all quality level) it’s hard to make any general statement, Iron sworn, Monster of the week, and kult are very different games concept.
A thing that disapoint me is that PTBA is seen as “rule light” when it’s actually pretty heavy rule wise. You need to give player helpsheet with moves, check table to see the consequence, definitely the opposite of rule light. It’s not necessarily a bad thing and playing by the rules is cool, but if you want simple rules where player would get the principle is 5 minutes it’s not the right choice.

