Which Hindu god is readily identified by an elephant head?

The Hindu god readily identified by an elephant head is Ganesha.

Ganesha, also called Ganesh, Ganapati and Vinayaka, is one of Hinduism’s most widely revered deities. He is commonly shown with an elephant head, a human body, a large belly and four arms. Worshippers associate him with new beginnings, wisdom, learning, good fortune and the removal of obstacles, so he is often honored at the start of ceremonies and important ventures.

In the best-known Puranic story, Parvati creates Ganesha to guard her privacy. Shiva, not recognizing him, confronts and beheads him. After learning who the youth was, Shiva restores him with the head of an elephant. Details vary among Hindu texts and regional traditions, and some accounts describe different origins.

Ganesha is traditionally identified as the son of Shiva and Parvati and the brother of Kartikeya. His mount is a mouse, an intentionally striking contrast to his enormous form. His major festival, Ganesh Chaturthi, celebrates his birth and is especially prominent in Maharashtra and other parts of India.