I have not actually read this book entirely but Hideyuki Matsumura's Commutative Algebra is a relatively advanced text on the subject. I did read the first few chapters of this book, but having done so I prefer David Eisenbud's Commutative Algebra; in any case, there are certain important concepts which Matsumura discusses towards the end of his book which may be worthwhile to read. (Matsumura does occassionally allude to geometric connections in his book, but Eisenbud alludes to them far more often and in far greater depth.)
All that said, this text due to Matsumura, especially part 2 (the last four chapters) does have some more "advanced field theory" in the context of commutative algebra and algebraic geometry. On the other hand, Matsumura's other book (which I believe was published later) on Commutative Ring Theory also has some more advanced field theory towards the end of the book, and perhaps could be more useful since it is actually designed as a textbook in the subject. (Whereas, I believe, Matsumura's Commutative Algebra was not written with this as the primary goal.)
I should add, however, that it takes time to become accustomed to Matsumura's exposition. He does state several facts without proofs (and some of them are quite fundamental to the rest of the text) but if you are fairly accustomed to homological algebra and commutative algebra in general, you should have little or no difficulty working out the proofs yourself. Also, the prerequisites for both texts is "graduate-level algebra", the fundamentals of homological algebra (i.e., all homological algebra up to, and including, the development of the torsion and extension functors), and familiarity with the exterior algebra. The appendices in Matsumura's Commutative Ring Theory do give a description of the necessary background but are perhaps too condensed if you are not already familiar with the material.