- 28 Rajasic incarnations: Lord Shiva did pastimes with various deities in these 28 incarnations, therefore Lord Shiva is also known as Devadideva, lord of the deities.
- Mahesha (also known as Maheshwara, pastimes with various deities, glory described in Maheshwara Khanda of Skanda Purana)
- Sunartaka (Nataraja, bewildered everyone with his divine blissful anandadayi dance, personalities such as Himalaya, Menaka, Durga i.e. daughter of Menaka, Brahma, Lord Vishnu, all the parshadas of Himalaya, all the divine sages including Narada, in the durbar of Himalaya, therefore Lord Shiva being Ishwara can bewilder anyone)
- Avadhuta (the chastisement of Indra deva)
- Pippalada (the chastisement of Shani deva)
- Sureshwara (the pastime with Upamanyu, Indra deva, and the deities)
- Devaraja (pastimes with Yama dutas and the brahmanical cult)
- Jatila (pastimes with the hermits in the Himalayas)
- King Madhata (the sovereign of bharat varsha, who ruled from Omkareshwar, glory described in Reva/Narmada Khanda of Skanda Purana)
- Dwijeshwara (the divine tiger form, the test and liberation of Bhadrayu & Kirtimalini in Anandavana)
- Bhikshuvarya (the rescue of Satyaratha)
- Sadhudwija (the test of Durga i.e. daughter of Himalaya and Menaka)
- Baidyanatha (the destruction of Ravana's arrogance)
- Krishnadarshana (the preaching of Raja Dharma to prince Nabhaga)
- Parashara (the father of Vyasa)
- Atharva (the sage of Atharva Veda)
- Ribhu (the composer of Shiva Rahasya, the itihasa dealing with Lord Shiva's pastimes in the spiritual abode Anandavana)
- Ushana (sage Ushana, the pastimes mentioned in Ausunasa Purana)
- Dakshina (the preacher of Ishwara Gita in Naimisharanya, Lord Shiva in this form declared that he is the supreme lord Ishwara and the sovereign of the creation)
- Kala (the consort of Kali)
- Tar (the consort of Tara)
- Shodash (the consort of Shodashi)
- Bhuvaneshwar (the consort of Bhuvaneshwari)
- Chinnamastaka (the consort of Chinnamasta)
- Bhairava (the consort of Bhairavi)
- Dhumavata (the consort of Dhumavati)
- Bagalamukha (the consort of Bagalamukhi)
- Matanga (the consort of Matangi)
- Kamal (the consort of Kamala)
- 28 Sattvik incarnations: Lord Shiva did these 28 pastimes mainly in spiritual Anandavana, the holy abode, also known as Varanasi, with his divine consort Durga (Shakti), along with Brahma (Brahman) and Vishnu (Bhagavan), hence Lord Shiva is also known as Ishwara (the highest deity), the one above OM (Brahma) and the origin of OM (Vishnu/father of Brahma).
- Adipurush (Ishwara, the primordial lord), the pastimes mentioned in Kashi Khanda of Skanda Purana, the lord of Anandavana
- Sadyojata (first expansion)
- Vamadeva (second expansion)
- Ishana (third expansion)
- Aghora (fourth expansion)
- Tatpurusha (fifth and final expansion)
- Sarva (first cosmic body)
- Bhava (second cosmic body)
- Rudra (third cosmic body)
- Ugra (fourth cosmic body)
- Bhima (fifth cosmic body)
- Pashupati (sixth cosmic body)
- Isha (seventh cosmic body)
- Mahadeva (this form of Lord Shiva stays in Kailasha, the final & eighth cosmic body, the pastimes with deities and various species, the pastimes described in Kailasha Samhita of Shiva Purana)
- Ardhanarishwara/half Shiva half Shakti (the bewilderment of Brahma/Brahma Vimohana Leela, Brahma after beholding this divine Shaiva form started the process of creation)
- Grihapati (the vigraha/idol from of Shiva which resides in the abode of Himalaya and all the deities, the art form of Grihapati is depicted at the end of this answer)
- Vatuka (the divine child form of Shiva, equal to millions of cupids, pastimes as a child in the spiritual Anandavana dham)
- Kalabhairava (the chopping of Brahma's fifth head and destruction of Brahma's ego)
- Attahasa (the killing of Matsya incarnation)
- Ruru (the killing of Kurma incarnation)
- Mahakala (the killing of Varaha incarnation)
- Sharabha (the killing of Narasimha incarnation)
- Kankala (the killing of Vamana incarnation)
- Virabhadra (the killing of Yajnapurusha incarnation)
- Yaksheshwara (the chastisement of gods after Samudra manthan)
- Vrishabha (half man half bull incarnation of Shiva)
- Yati (the swan incarnation of Shiva)
- Nandishwara (the bull vehicle of Shiva, the final 28th of the Sattvik incarnations)
- 28 Tamasik incarnations: Lord Shiva did pastimes with sages, seers, various species, men, and the dark creatures of the underworld in these 28 incarnations.
- Shweta
- Sutara
- Damana
- Suhotra
- Kanka
- Lokakshi
- Yogisabha
- Dadhivahana
- Rishabha (the yogi form of Shiva who expanded the art of yoga)
- Bhringa
- Kali (a divine form of Shiva, not Goddess Kali)
- Puru
- Bali (not demon king Bali)
- Gautama
- Vedashiras
- Gokarna
- Guhavasi
- Shikhandi (not Shikhandi of Mahabharata)
- Jatimali
- Atta
- Dvaruka (the founder of Dvarukavana, present day Nageshwara Jyotirlinga of Gujarat)
- Langali (the founder of modern city of Varanasi)
- Kalanjara
- Shuli
- Mundishwara
- Sahishnu
- Somnath (the founder of Prabhasa Kshetra, modern day shoreline of Gujarat, the glory mentioned in Prabhasa Khanda of Skanda Purana)
- Lakulisha (the reviver of Shaivism in Kali Yuga, born in Kayavarohan, modern day Gujarat, founder of Lakulisha Shaivism)
These are the complete list of 84 divine incarnations of Lord Shiva as per the Sanatana scriptures.
Image courtesy : Google