The best book to learning GR,without using differential geometry at all (defining tensors in the taxonomical approach),is "General Relativity" by Paul Adrien Maurice Dirac.It should provide you with the physical contents of GR.For the math part,Steven Weinberg deals pretty well.MTW book will lose u among footnotes.For the Einstein-Cartan theory (which provides the natural path to Supergravity theories),there is a chapter in Steven Weinberg's book,one in Ramond's book,an article by Kibble,a clean approach by Carmeli,a.s.o.
To Quantum Mechanics,it's not easy to give advice,as i don't know how far u will go go,and how much mathematics (functional analysis to be exact) u will need.The easiest approach is provided by Cohen-Tanoudji et al. and Messiah.But you can go deeper into mathematics behind QM with the Bible by Prugoveçki.And the list would carry on.The original book by Von Neumann (1932 in German,not Hungarian,and the English transcription 1955) should be easier than Prugoveçki.It provides the reader with the original text on Von Neumann formulation of (nonrelativistic) Quantum Mechanics.If you want the other formulation as well,you can go to Feynman,Hibbs' book.
Into field theory,depends on how much you want to understand.If you want to be shallow,u can choose Peskin,Schroeder/Itzykson,Zuber/Bailin and Love/Ryder.More rigurous approaches u find in Steven Weinberg/Zee/Ramond.Or go directly to the Bible of quantizing by Henneaux,Teitelboim.The applications are to be found in the books mentioned earlier.Standard Model applications,that is.
I think you have a list.It's not complete.Maybe i missed many books,good ones,that is.Or maybe not.
Good luck!