Elissa (Dido) - 814 or 813 BC. Sister of King Pygmalion of Tyre, she and the founding of Carthage will doubtlessly have their own post with more detail.

Malchus - Mid-6th century BC. After a period of being exiled, general Malchus seized the throne with his army. He then executed the 10 senators who pushed strongest for his exile. Because of this, he was, himself, accused of tyranny and executed. This may not actually have been his name. Malchus could be a Latinized version of MLK, the Phoenician word for ‘king'.

Mago - 550 BC. First of the kings from the Magonid family. At this time, Carthaginian kings weren't as powerful as other kings. He shared power with a Council of Elders and a People's Assembly.

Hasdrubal One of Mago's sons. He was invested with the title ‘Tyrant' or ‘Dictator' (depending on the source) eleven times

Hamilcar Hasdrubal's nephew. He died at the Battle of Himera (480 BC)

Hanno the Navigator - 480 till 440 BC. A son of Hamilcar. Said to have sailed down the African coast as far as Sierra Leone.

Hannibal - By 410 BC. Son of Gisco and grandson of Hamilcar, who died during an epidemic at the siege of Agrigentum

Himilco - 396 BC. Cousin of Hannibal, son of Hanno the Navigator, and grandson of Hamilcar. He actually had control several years before, but could only be formally made king in Carthage, which had to wait till his return from Sicily in 396. Later that year, he had to flee Sicily from the Greeks in disgrace, and subsequently killed himself.

Mago - 396 BC. Himilco's nephew. He died at the Battle of Cronion, against the Syracusan army in southern Italy. He was the last of the Magonid rulers.

Hanno the Great - 368 BC. He was the first of a new family in power in Carthage, the Barca family. However, at this time, Carthaginian kings had even less power than the Magonid kings. When he tried to seize more power with an unsuccessful coups in the 350's, he was executed.

Gisco Sometime after Hanno's execution, the family was returned to power when Hanno's son, Gisco, was recalled from exile to the throne.

Hamilcar A nephew of Gisco, who was removed from power for plotting with Syracuse against Carthage. From the discussion I read in Serge Lancel's Carthage, A History, it may only have been that he reached an agreement with Syracuse that Carthage didn't like.

Hamilcar Same name as above, I know, but this one was a son of Gisco. While he was fighting against the Greeks in Sicily, Syracuse sent an army against Carthage. Carthage then appointed two other leaders in his absence. One was Bomilcar, a nephew of the previous Hamilcar and a rival to the present one, and the other was Hanno. Hanno was soon killed in the war, and Bomilcar retreated inside Carthage. This Hamilcar eventually died at the hands of torturers in Syracuse.

Bomilcar - 309 BC. When Hamilcar died in Syracuse, Bomilcar gained the title, melek (notice the title for ‘king' now includes vowels). When he tried to overthrow the Council of Elders in 309/308, the people rose up, captured, tortured, and crucified him. After this, the Council of Elders abolished the monarchy, with the title, ‘king', still used, but carrying no constitutional powers.