Goldstein's and Jackson's are the examples of widely used graduate level textbooks, however it should be used already in your MSc course. Griffith's in the other hand is widely used in physics undergraduate EM course.
I don't know the level of math and physics that you have, but probably it would be good to start studying Landau-Lifshitz's Course on Theoretical Physics. Keep in mind that the level of the book is advanced, hence the authors tend to omit some "obvious" intermediate steps, such that it would take "forever" to follow their derivation. The good side of the books is all the problems inside have solutions given by the authors.
You may also benefit from the consistency of the presentations due to they all written by the same authors.
Suggested General Reference
Principles of Condensed Matter Physics, by P. M. Chaikin & Tom Lubensky, is an excellent resource for learning soft matter physics.
It is a clear, surprisingly self-contained exposition to advanced topics in statistical physics and their applications, as well as dynamical critical phenomena, hydrodynamics, topological defects, and interface phenomena (e.g. the 'roughening transition' for solid-fluid interfaces). This is a graduate level book.
Additional general references (mainly statistical mechanics)
Entropy, Order Parameters, and Complexity, by James Sethna, is highly readable, contains many thoughtful exercises, and is free on the author's website.
Phase transitions and Renormalization Group, by Jean Zinn-Justin, gives a more concise, mathematical treatment of renormalization group methods, as well as the canonical topics of statistical field theory. This book also has many instructive examples.
Statistical Mechanics of Phase Transitions, by J. M. Yeomans, is short, but gives a great conceptual overview of theoretical techniques in the analysis of phase transitions.
The statistical mechanics textbooks by Mehran Kardar (Statistical Physics of Particles/Fields) are phenomenal. The second volume gives a comprehensive treatment of field theoretical methods, and has a nice chapter on directed polymers in random media and stochastic growth models. Both books include many interesting problems.
Polymer physics
Introduction to Path Integral Methods in Physics and Polymer Science, by F. W. Wiegel.
An introduction to standard models of polymers, and path integral methods more generally. Very well written, (but lacks exercises).
Scaling Concepts in Polymer Physics, by P. G. De Gennes,
Introduction to Polymer Dynamics, also by De Gennes.
Best Answer
The books you have mentioned, are written from an engineering point of view rather than physicist's. The following books are recommended:
and also you may find the following book, with a more mathematical flavor, interesting: (I haven't seen this one myself)