The Pillar of Light
Source: Shiva Purana, Linga Purana
Brahma and Vishnu once argued over who was greater. Between them appeared an endless column of fire. Brahma flew upward as a swan and Vishnu dug downward as a boar, but neither found its end. Shiva emerged from the pillar, revealing himself as the boundless reality beyond both. Devotees understand the Jyotirlingas — "lingas of light" — as places where this infinite light is especially honoured.
Neelakantha — Drinking the Poison
Source: Bhagavata Purana, Shiva Purana and other texts
As the devas and asuras churned the ocean of milk for the nectar of immortality, the first thing to rise was halahala, a poison that threatened all life. When everyone else fled, Shiva drank it. Parvati pressed his throat so it stayed there, and his throat turned blue. Maha Shivaratri is linked in some traditions with this night of vigil.
Sati, Daksha and the Return as Parvati
Source: Shiva Purana, Devi Bhagavata
Sati, daughter of Daksha, married Shiva against her father's wishes. When Daksha insulted Shiva at a great yajna, Sati gave up her body. In grief Shiva carried her; the places where her body is said to have fallen became the Shakti Peethas. Sati was reborn as Parvati, daughter of the Himalaya, and through deep tapas won Shiva again — a story of devotion, loss and reunion.
The Descent of the Ganga
Source: Ramayana (Bala Kanda), Puranas
King Bhagiratha performed long austerities so the heavenly Ganga would descend and purify the ashes of his ancestors. Knowing her force would shatter the earth, he prayed to Shiva, who caught the river in his matted hair and released her in gentle streams. The Ganga's Himalayan source stream still bears the name Bhagirathi.
Nataraja — the Cosmic Dance
Source: Shaiva Agamas, Tamil Shaiva tradition
As Nataraja, Lord of Dance, Shiva performs the ananda tandava within a ring of fire: the drum in one hand for creation, the flame in another for dissolution, a raised palm offering protection, and a foot lifted in release while the other subdues Apasmara, the dwarf of ignorance. The temple at Chidambaram is especially associated with this form.