I've got a pretty extensive experience running these games and their Forged in the Dark offshoots. I've run:
Apocalypse World
Dungeon World
Masks
Monsterhearts
Streets of Mos Eisley
The Between
Stonetop
Blades in the Dark
Scum and Villainy
Of those, I've run AW, DW, and BitD the most for probably ~ 1600ish hours worth of play.
I don't agree with the ENWorld consensus on Dungeon World (like not even close to agreement...as anti-agreement as there could possibly be). However, if you're looking to play Dungeon World in 2022, I would highly recommend using Strandberg's (he is one of the author's of Stonetop) Perilous Wilds supplement for Perilous Journeys and Followers/Cohorts (and his superior breakdown of Dangers and Discoveries). Further, I would suggest using Stonetop's iteration of the basic moves as several of them are updated/better versions.
Its difficult to talk about these things without knowing specific questions that someone might have. I don't know what you don't know (for instance) and I don't know how allergic you are to certain concepts and how amenable you are to trying something new.
What you may want to do is check out the thread for the Stonetop game that
@hawkeyefan mentioned above. He is playing the Judge (a chronicler/paladin archetype) so he is taking significant notes on sessions and uploading them to the thread. I'm then breaking out/mapping the framing/soft moves I make > the moves that are triggered as conversation proceeds > their results/consequences.
The Stonetop thread is here. Feel free to drop into that thread, give it a look-over, and ask any questions that you have. The players or myself will gladly answer them for you. I've also got tons of Dungeon World posts with broken down play excerpts and conversation around here so just search my name with keyword "DW" or "Dungeon World" or "Spout Lore" or "Discern Realities" (or some other relevant phrase).
If you're quite interested in running one of these games, you would do well to watch someone who is proficient at both running and playing these games. They require proficiency and aggressiveness in both GMing and in playing. You have to advocate and push hard and constantly observe play principles and best practices. If you're interested in that, I can check with my Stonetop group and see if they are ok with you watching play. Or, you can go on youtube and watch some of Strandberg's running of his game Stonetop (I haven't watched any of it, but I assume he's rather proficient!).
Presently, I would recommend either Apocalypse World or Dungeon World with Perilous Wilds supplement/Stonetop updates or Stonetop itself if you can get your hands on the playtest docs. Or Blades in the Dark.
EDIT for Aldarc's mention:
That is an intentional part of the PbtA design. There is a certain love of "snowballing" dramatic situations among Vincent Baker and his designer peers. I recall someone else - possibly either
@Manbearcat or
@hawkeyefan - argue that PbtA was effectively designed around what happens on 7-9 dice results.
Yup. These games are designed to produce (roughly) a bell curve distribution of results with 2/3-ish falling into that Success With Complication result. This means that the bulk of play will produce a snowballing resolution paradigm (or a game of "spinning plates") whereby thematic conflict (escalating the present situation, or new dangers, or new potentially spiraling situations, or new omens of ill portent, or new opportunities with cost) continuously emerges merely as a byproduct of just playing the game.