According to NIH following is a list of conditions which are probably affected by acupuncture.
Adult postoperative and chemotherapy nausea and vomiting and in postoperative dental pain.
Addiction
Asthma
Carpal tunnel syndrome,
Fibromyalgia,
Headache,
Low-back pain,
Myofascial pain
Osteoarthritis,
Stroke rehabilitation
Menstrual cramps
Tennis elbow

The World Health Organization recognizes that acupuncture can be used to treat a wide range of illnesses or disorders.

Respiratory Diseases
o Acute sinusitis
o Acute rhinitis
Common cold
Acute tonsillitis
o Acute bronchitis
o Bronchial asthma

Eye Disorders
Acute eye infections
o Cataract (without complications)
Myopia
Central retinitis

Disorders of the Mouth
Cavity
o Toothache
o Pain after tooth extraction
o Gingivitis
o Pharyngitis - sore throat

Orthopedic Disorders
o Tennis elbow
o Sciatica
o Low back pain
o Rheumatoid arthritis

Gastrointestinal Disorders
o Spasm of the esophagus
o Hiccups
o Acute and chronic gastritis
o Gastric hyperacidity
o Chronic duodenal ulcer
o Acute and chronic colitis
o Acute bacterial dysentery
o Constipation
o Diarrhea
o Paralytic ileus

Neurologic Disorders
o Headache
o Migraine
o Trigeminal neuralgia
o Facial paralysis
o Peripheral neuropathy
o Paralysis caused by poliomyelitis
o Meniere's syndrome
o Neurogenic bladder dysfunction
o Nocturnal enuresis
o Intercostal neuralgia

Items designated with the symbol ()   Though they are listed by WHO as treatable conditions, I have not treated these problems with acupuncture.

The conditions I have treated with acupuncture with varying degrees of success are listed in My Experience.