He is immortal. He will reappear alive in the Underworld when killed, even if his body is destroyed. He is bound to the Underworld by fate, which cannot be changed even by Nyx, who once altered fate to save Zagreus from stillbirth. Able to defy death and revive himself on the spot without returning to the Underworld up to three times in a row usually.
Regeneration can withstand Prometheus’s punishment of having his liver pecked by an eagle and can absorb dark essence via being born from Chaos to empower himself and heal himself.
Can launch bloodstone projectiles made from his blood to slow down and weaken foes.
Achilles and Thanatos believe him to be a god of life, and Zagreus tells Demeter that he thinks he has some of her power over his life in him.
Can phase through attacks and obstacles by dashing. It is stated that Zagreus' dash is a short-range version of Thanatos's shift, which allows Thanatos to skip across most of the world, with Thanatos saying that Zagreus can learn to do the same with practice.
He can interact even with ghost-like shades and kill them with his attacks.
Can alter fate, Zagreus shocked Nyx by fulfilling all prophecies in his Fated List, which she thought was impossible, with Nyx stating that Zagreus caught up with the Three Sisters of Fate's designs faster than they could weave despite the sisters being noted to have perfect knowledge of the future.
Has resistance to heat/fire (can stand in lava), soul manipulation, poison, petrification, mind manipulation, curses, and other elemental attacks.
These are just his base abilities. His six Infernal Arms via weapons consist of the Stygian Blade via sword, Eternal Spear, Shield of Chaos (he can throw is like Captain America), Heart-Seeking Bow, Twin Fists of Malphon (pair of gauntlets for punching), and Adamant Rail (similar to a machinegun). They used to belong to the gods who used them to fight off the Titans, except for the Shield of Chaos which belonged to Chaos who is stated of created all life and the world. Though his daughter Nyx created the Underworld.
He can change the Aspects of his Infernal Arms giving them different abilities like the Aspect of Arthur changes his Stygian Blade to the Holy Excalibur which can form a static field that releases an aura that reduces damage to Zagreus, slows down enemies and projectiles, and disables traps. The attack range is extended through projected energy waves. The Aspect of Guan Yu for his Eternal Spear changes it to Frost Fair Blade releases long-range damaging energy waves with every attack. After charging energy, the Serpent Strike can be performed which creates a spinning energy blade that heals Zagreus when foes are damaged. His Twin Fists can change to the Aspect of Talos that pull enemies through magnetism or the Aspect of Gilgamesh can deliver maiming slashes that make foes more susceptible to damage and slower.
Zagreus’s Infernal Arms also has other abilities that don’t rely on Aspects like life drain/absorption, energy blasts, can telekinetically retrieve his spear, and generate explosions.
Boon’s are blessing gifted to him by the Olympian gods that grant him a variety of abilities that enhances himself or his weapon like mind manipulation (charming enemies or getting them intoxicated), inflicting curses that cause pain, agony, misfortune, and impending doom. Can create large spinning metal blades that draw foes in, gaining knowledge of pressure points, plant manipulation, can imbue his attacks with divine energy causing enemy attacks to get deflected back to them, light manipulation, can create shields or create forcefields that deflect or nullify attacks, reality warping on a small scale, ice manipulation, wind manipulation, healing, poison manipulation, can create poisonous fog, inflict paralysis, can become one with the dark and become invisible after creating smoke, water manipulation, lightning manipulation, and can make his bow and railgun have homing projectiles.
His Keepsakes are basically accessories that Zagreus can equip. Two notable Keepsakes are the Evergreen Acorn that nullifies damage for the first five hits. The Broken Spearpoint offers invulnerability for 1.5 seconds after taking damage, with a recharge rate of seven seconds.