Probably not. I don't have the inclination towards meticulous detail, so I'll likely make a lot of sweeping generalizations, and only note specifics when they're actually turning points. The Gallic invasion of Asia Minor is such a turning point, but I've politely ignored the rest of the collapse of the Persian Empire because it's not significant as to who rebels when, simply that by this point the empire has dissolved.
On that note:
344: Alexander III of Macedon appeals for membership in the League, and is accepted, managing to acquire through considerable bribes and machinations a number of senate seats greater than any save the three founding cities.
340: the 16-year-old Alexander invades Lydia, borrowing League naval transports but using only Macedonian troops.
339: Alexander has completely subjugated the Persian rump in Lydia and Carias.
337: Alexander requests naval support from the League for an expedition to Phoenicia, as before promising a share of the revenues. Not particularly pleased at the prospect of a Macedon-controlled east, but eager for the wealth of the Levant, the Senate appoints Alexander the strategos of a joint League fleet. To ensure loyalty to the League, Alexander's Macedonian forces are limited to his Companion cavalry and a force of some ten thousand light infantry (mixed Macedonians, Balkan tribesmen, and Gallic mercenaries); the hoplite forces are provided by the cities of Messene, Corinth, and Thebes, totalling thirty thousand hoplites and an equal number of peltasts.
336: The mustered armies of the Phoenicians are slaughtered by Alexander's numerically, tactically, and technologically superior force; the remnants hole up in Tyre, for a lengthy seige, and appeal to their Carthaginian kinsmen for aid. A Carthaginian fleet is dispatched towards Sicily, where their triremes are shattered by the League's fleet; the Carthaginian troop transports intended for New Athens instead sail to Sardinia. A League force is assembled to remove them, and fights a brutal battle which ends with both armies encamped, awaiting reinforcements. Word is sent to Phoenicia to recall Alexander.
335: Seeing no chance of bringing reinforcements through the Mediterranean, Carthage instead sends an army overland towards Italy. A hastily assembled force, primarily of Romans, meets them near Avignon. This army is, in the traditional Hellenic fashion, composed primarily of hoplites with irregular support; the Spanish cavalry completely routes the League's peltasts, allowing the main force to be completely surrounded by the Gallic and Iberian swordsmen who, unencumbered by hoplon or rigid formation, are much more maneuverable in the hilly terrain. Not one Roman escapes the envelopment, as their lack of cavalry allows the handful who break free from the infantry trap to be ridden down casually by the Carthaginian light horse.
Meanwhile, Alexander has left Phoenicia, leaving behind the League troops as an occupation force and collecting much of his own Macedonian army on his way to Italy. He arrives in time to lift the seige of Parma, his own heavy cavalry driving the Spanish horse from his flanks for a sufficient length of time to permit a decisive infantry clash, which thanks to Parma's flat terrain gives victory to the heavier League force. Himilcar, leader of the Carthaginian forces, retreats in good order back all the way to the Pyrenees, as Alexander declines to pursue. The Carthaginian army in Sardinia is starved into surrender with the additional forces provided by the Macedonian's return, and the Romans determine to rebuild their armies to launch a counteroffensive.