This is a list of top journals in Mathematical Logic ranked according to my personal point of view:
1- Journal of Mathematical Logic
2- The Journal of Symbolic Logic
3- Annals for Pure and Applied Logic
4- Fundamenta Mathematicae
5- Notre Dame Journal of Formal Logic
6- Archive for Mathematical Logic
7- Mathematical Logic Quarterly
There are other journals which I'm not able to locate in the list above. Among them is the prestigious "The Bulletin of Symbolic Logic":
The Bulletin of Symbolic Logic
Studia Logica
Logic and Algebra
Logical Journal of IGPL
Also, we have the journal "Model Theory" which has started publishing since the beginning of 2022.