Acid Nasty. Acid cigars are a unique brand introduced in 1999 and offers a wonderful, herbal, aromatic flavor. Acid cigars use premium tobaccos, botanicals, herbs and essential oils in their secret floral formula to give smokers their best smoking experience. Acid cigars come in strengths from medium to medium-full to full and many have an uncut foot. All of this makes Acid cigars a unique experience in today’s market of flavored cigars.