My friend's follow-up question was if there was a new big 3 now that Bleach and Naruto have ended. Officially? No. That label was more a one time thing.
But are there 3 new titles at Shonen Jump that are long running, always high in the ratings, have anime adaptations and are hugely popularity in Japan and overseas? Yes. If I was going to choose the next big 3, it would be: Dr Stone, My Hero Academia and Black Clover.