A malignant neoplasmic skin condition that spreads to organs & lymph nodes, which is commonly associated with aids, diabetes, and lymphoma is:

Kaposi's sarcoma (KS)

Kaposi's sarcoma (KS) is known as spindle-cell tumor that was derived from endothelial cell lineage. It is a type of cancer that form from the oral mucosa, visceral organs, skin and lymph nodes. This cancer causes patches of abnormal tissue to grow under the skin and in the lining of the mouth.