Arak is the anise flavored liquor that is popular in the Eastern Mediterranean and North Africa, and is most consumed in Lebanon, Syria, Iraq, and Eqypt. It is an unsweetened spirit and is distilled initially from grapes and then re distilled after the addition on aniseed. I cant really find much on this spirit but would definitely be interested to try it.
Sambuca is a another anise flavored beverage, and while it gets its flavor form the star anise plant and not the anise flower I still feel it belongs in this group. The star anise is a plant native to southwest china that has an extremely similar flavor to anise. Sambuca is made from the mixing of sugars and star anise oil to pure alcohol. The origins of the name like many other liquors are disputed. Molinari a producer of Sambuca claims that the name is derived from the Arabic for Zammut which was used for the anise flavored drinks being imported form the east. However the Oxford English dictionary claims that it is derived from the term sambucas, which means elderberry, and is often an ingredient in traditional Sambuca.
Ouzo is a drink that also has disputed origins. While there are many claims as to where it originated and how, large scale production did not start until after the Greeks gained independence. The island of Lesbos became the center of production for the beverage. Ouzo gained even more favor in the early 20th century Absinthe fell out of style and the Varvayanis company began to produce and market a "high quality" Ouzo distilled in copper vats. In Greece ouzo is typically served mixed with water or served straight up, I certainly encountered in in the straight up form more often, but then again I don't know what should be expected for a gratis drink. More commonly in the west is it mixed with cola and can often be bought in pre mixed bottles. Like other anise beverages ouzo starts with pure high proof alcohol being mixed with anise seed. Ouzo may contain other additions such as star anise, cloves, and cinnamon.