I'm not Helenia, but I'll try to summarise what most med students use here.
For FAB (anatomy):
-There is a very good dissection handbook, issued by the University, which is used for dissections. This is not available outside the University.
-Many also have a photographic atlas, and I have the impression that McMinn's is especially popular.
-For supervision essays quite a few use "Clinically oriented anatomy" by Moore (this is also a good anatomy textbook in itself). From time to time also specialised literature and PubMed, but really Copy&Paste from Moore's seems to do the trick for many.
-Gray's for students is good, but has too little detail for supervisions and too much detail for exam preparation. Not many buy one. (but then probably because you can always borrow one from the library, should you need it.)
-I also use Moore's Clinical embryology to complement anatomy and for supervisions, and I personally quite like this book. (though this was not a recommendation - saw it in the library

For MIMS (biochemistry):
-Biochemistry by Voet. Really a must-buy, because i) lecturers refer to this every other second and ii) very useful for supervisions because of its detail. Quite difficult to follow though.
-Essential biology of the cell. Parts of the book follow the course, parts don't. I've got it before starting at Cam because, for a textbook, it's quite interesting and gives some starting point for essays.
-There are also the handouts.
For Homeostasis (histology+physiology):
-Guyton for physiology. Got everything covered and is also quite readable.
- Histology: you technically can do without a book, though I used a German textbook written by a somebody I know personally. I also borrowed Kerr's for the pictures (Text's rubbish though, wouldn't recommend buying it).
There are other courses, such as statistics, etc., but I would never even dream of getting a book for those. If something is unclear, Wiki first and then clarify the rest at the supervision perhaps.
In the end I would recommend to wait until your course starts. Your lecturers will recommend books for you, which will follow your course closely, and perhaps some of them are even written by your professors! A book that follows the medical course here is not necessarily the best option at a different university. I doubt your recommendations will be of lower quality then the books here.
Also, congratulations on your offer! Where will you be studying medicine?