Sprains and Strains: Speeds healing of damaged tissue
Muscle tension or stiffness: moxa relaxes tension and increases circulation
Decrease swelling and inflammation
Read more about pain treatment at Aiyana Acupuncture & Chinese Herbs
Reproductive: Research has shown that moxa acts as an agent that increases blood circulation to the pelvic area and uterus and regulates menstruation.
Menstrual cramps and pelvic inflammatory disease
Enhance fertility via increased circulation of blood to uterus
Turn breech babies to a normal position
Reduce the intensity and duration of labor pains
Labor induction
General:
Reduce the appearance of old scars
Boost immune system for cold and flu treatment and prevention
Chronic autoimmune-related illness
Open bronchial airways for asthma
Digestive disorders such as IBS and diarrhea
Gastric, abdominal, or intestinal pains
Fatigue
A few more bonus points for moxa:
It can be used for treating children or those who are severely needle-phobic. Treating acupuncture points with moxa alone can gently stimulate the action of the point just through the heat and energy from moxa itself.

It has been observed  that moxa treatment used in combination with acupuncture often allows patients to enter a more relaxed state of rest than just acupuncture treatment alone. Within the first few minutes of moxibustion, patients' breathing becomes much deeper and slower as their body and mind let go of pent-up tension.
Aside from being useful to treat the above conditions and as a preventative measure to maintain health, moxa has been known throughout the ages as an agent that can prolong life! Its famous reputation for promoting longevity goes back to ancient classic Chinese Medical texts.