Researchers have carried out a systematic review of trials which have investigated the benefits of acupuncture for high blood pressure which is not secondary to any other medical condition (essential hypertension). Twenty trials were included, of which three were judged to be relatively rigorous in their design and general quality.
Overall, acupuncture was found to have significant effects on blood pressure compared to controls. In the rigorous trials in particular, acupuncture plus standard drug treatment, resulted in significantly lower blood pressure than sham control acupuncture plus drugs.
(Acupuncture for Essential Hypertension. Altern Ther Health Med March-April 2010.)
A trial studying the effects of acupuncture for COPD (chronic obstructive pulmonary disease) has been carried out at two hospitals in Japan. Thirty patients were divided into two groups. Both groups remained on their usual medication, but in addition, one group received acupuncture weekly for ten weeks. At the end of the treatment period, the acupuncture group showed significantly less breathing difficulty after a standard six minute walk test. 
A review paper by American authors supports the use of acupuncture for cardiac arrhythmias. In the eight published studies they reviewed, between 87% and 100% of patients converted to normal sinus rhythm after acupuncture treatment. The limited quality of current studies however, calls for further controlled clinical trials with standardized treatment protocols, diverse patient populations, and long-term follow-up.