This answer relates to the secondary question, regarding inventors and craftsmen specifically, as opposed to the forging of miraculous weapons.
Pliny the Elder devotes an entire chapter of Naturalis Historia (The Natural History) to the inventors of things.
The inventions are too numerous to list here. Daedalus is credited with the invention of the axe, although in the context of carpentry.
However you may find this passage to be of interest:
The first battles were fought by the Africans against the Egyptians, with clubs, which they are in the habit of calling phalange. Prœtus and Acrisius were the first to use shields, in their contests with each other; or, as some say, Chalcus, the son of Athamas. Midias, the Messenian, invented the coat of mail, and the Lacedæmonians the helmet, the sword, and the spear. Greaves and crests were first used by the Carians; Scythes, the son of Jupiter, it is said, invented the bow and arrows, though some say that arrows were invented by Perses, the son of Perseus. Lances were invented by the Ætolians; the javelin, with the thong attached, by Ætolus, the son of Mars; the spear of the light infantry by Tyrrhenus; the dart by Penthesilea, the Amazon; the axe by Pisæus; the hunting-spear, and the scorpion to hurl missiles, by the Cretans; the catapulta, the balista, and the sling, by the Syrophœnicians. Pisæus, the Tyrrhenian, was the first to invent the brazen trumpet, and Artemon, of Clazomenæ, the use of the testudo. The battering-horse, for the destruction of walls, which is at the present day styled the "ram," was invented by Epeus, at Troy. Bellerophon was the first who mounted the horse; bridles and saddles for the horse were invented by Pelethronius. The Thessalians, who are called. Centauri, and who dwell along Mount Pelion, were the first to fight on horse—Back. The people of Phrygia were the first who used chariots with two horses; Erichthonius first used four. Palamedes, during the Trojan war, was the first who marshalled an army, and invented watchwords, signals, and the use of sentinels. Sinon, at the same period, invented the art of correspondence by signals. Lycaon was the first to think of making a truce, and Theseus a treaty of alliance.
SOURCE: Pliny the Elder, The Natural History, 7.57
So, while the weapons listed are not magical, we have:
- Midias, the Messenian: Chainmail
- Scythes, son of Jupiter: Bow & Arrow
- Perses, son of Perseus: Arrows (alternate)
- Ætolus, son of Mars: Javelin w/ Strap
- Tyrrhenus: Light Infantry Spear
- Penthesilea the Amazon: Dart
- Pisæus: War Axe
- Epeus, son of Panopeus: Battering Ram (at Troy)