Male with long nipples - Normal or a medical issue? (photos)

Thank you for the question.   Your nipple size  falls within the range of  "normal" and is certainly not a "medical issue". 
For the benefit of men who have aesthetic concerns about nipple size: nipple reduction for men is a good procedure to treat prominent nipples. I do this procedure by removing a segment of nipple and covering the area with a superiorly based flap. The degree of flattening (most men want the result to be  almost flush with the areola)  can be tailored to the patient's requests.
This procedure is usually done under local anesthesia and requires no time off from most types of work. Patient satisfaction was a high and scars are often not noticeable.
I hope this, and the attached link, helps.

Thank you for sharing your question and photographs.  There is a very wide spectrum in diameter and length of male nipples and yours falls well within normal.  If you desire to reduce their length it can be done with a small, in-office procedure.  Be sure to see an ASPS board certified plastic surgeon in consultation.

Like everything, there is a scale of "normal". Your nipples are simply on the larger end of that scale. If they really bug you, you could schedule a consultation with a board certified plastic surgeon to discuss nipple reduction surgery, but this will probably also reduce your nipple sensation. Always a trade off...