Someone went to the trouble of putting the whole of the Official History online. This is Vol. 3 of The Mediterranean and the Middle East – British Fortunes Reach their Lowest Ebb, covering the period September 1941 to September 1942.
While a very interesting and good read, like all books from the period, it needs to be considered in the light of more recent research, and also of course the fact the the British Army could hardly be seen as an uninterested party. Nevertheless, the research that went into these volumes is substantial, and a great effort was made to ensure future researchers can verify things. I have repeatedly come across items in the National and Imperial War Museum archives with a stamp on them ‘Quoted in the Official History – Permanent Preservation’.