In probability, *The Annals of Probability* is certainly leading the field, probably along *Probability Theory and related fields*. 

In fact, the leadership of *The Annals of Probability* is so strong that many probabilists seem to not even think of top generalist journal when they have a top result, and simply submit to *The Annals of Probability* papers that would have a shot at *Inventiones* and the like. At least, it is what some papers there made me think.

As noted by Martin Hairer, there are several other probability journals that are high level, though less universally considered on top of the field: *Electronic Journal/Communications in Probabilities* (which is remarkable by being free for the authors as well as open for readers) and *Annales de l'IHP: probabilité et statistiques*.