I know the early parts of the Pacific War had all kinds of battles. My great grandfather was a british officer at the Fall of Singapore (or Burma?). The Japanese very early on started attacking New Zealand, Thailand, Burma, Australia, etc. When the United States started going on a serious offensive and started Island Hopping, how much did the british contribute? Were they focusing on rebuilding the colonies? Or were they too island hopping?
While the United States is rightly credit with bearing the brunt of the fighting, the British did do their part in combating the Japanese. As you point out, British soldiers fought the Japanese in Hong Kong, Burma, Malaya, Singapore among other places yet the main focus of the British from 1942 to 1945 was to be Burma.
I've written quite a long post on the British campaign in Burma out of the perspective of Field Marshal Bill Slim's 14th British Army. It's a mini-biography, so you're bound to learn a little more about (in my opinion) the best British general of WWII.