Odyssey Connecticut Cigars by General Cigar Company Odyssey Cigars are a budget friend smoke that delivers good flavor & construction at a fraction of the price. Odyssey cigars are made in Nicaragua by General Cigar Co., producers of highly regarded brands like Cohiba, Macanudo, La Gloria Cubana & Partagas. The Odyssey cigar brand comes to you in three wrapper styles, a Connecticut, Habano & Maduro, each delivering a unique flavor & strength profile. Bottomline, if you are looking for an affordable everyday cigar that won’t break the bank then look no further than the Odyssey cigar brand, you won’t be disappointed. Buy Odyssey Cigars online from AtlanticCigar.com , the leader in Discount Cigar Prices. Shop our site today for the Best Cigar Prices on the Net! Always shipped Fast & Fresh right to your door.