This was the first major battle of Alexander's campaign against the Persian Empire, and resulted in a decisive victory for the Macedonians, opening up Asia Minor for conquest.
This was the second major battle of Alexander's campaign, and pitted him against the Persian king Darius III in a narrow coastal plain. Alexander used his superior tactics and cavalry to rout the larger Persian army, and captured Darius' family and treasure.
This was a lengthy and difficult siege of the island city of Tyre, which resisted Alexander's attempts to incorporate it into his empire. Alexander built a causeway across the sea and used naval and siege engines to breach the walls, and massacred or enslaved most of the population.
This was the decisive battle of Alexander's campaign, and the final confrontation with Darius III, who had amassed a huge army in the Mesopotamian plain. Alexander again used his superior mobility and coordination to outflank and crush the Persian forces, and pursued Darius until he was killed by his own men.
This was another siege of a fortified city that defied Alexander's authority, and the last major resistance in his conquest of Egypt. Alexander employed battering rams and catapults to breach the walls, and captured the city after a fierce fight.