Logic and Analysis: Intended to be a natural home for papers with an essential interaction between mathematical logic and other areas of mathematics.
Journal of Applied Analysis: JAA is an international mathematical journal devoted to mathematical analysis and its applications to physics, mechanics, economics, computer sciences and engineering. Topics include: mathematical analysis (real and complex, harmonic, convex, variational), differential equations, dynamic systems, optimization (linear, nonlinear, convex, nonsmooth, multicriteria), optimal control, stochastic modelling and probability theory, numerical methods. Also welcome are works showing connections between mathematical analysis and other domains of mathematics (geometry, topology, logic and set theory).
Questions and Answers in General Topology: A Journal Devoted to General Topology and Related Fields. An international journal devoted primarily to rapid publication of questions and answers that arise from research in general topology and related areas.
Aleph Ephes: A very interesting journal for all people who love mathematics. In Hebrew. The link contains some of the papers which appeared in this journal.