There is no definitive list, acupuncture is used for a whole range of conditions.
In this country, acupuncture is most commonly known for treating injuries or pain and there is some good evidence for its success in this field. For example the National Institute for Clinical Excellence (NICE), who offer guidelines for healthcare professionals including the NHS, recommend acupuncture for the treatment of lower back pain and certain types of headache.
There are however many other conditions people seek treatment for including gynaecological problems, fertility, emotional issues to name but a few. My page About Acupuncture has links to a number of fact sheets on various conditions which are published by the British Acupuncture Council. If you have an specific enquiries please feel free to contact me. I am happy to talk things through with you before you commit to treatment.