Here`s a detailed explanation of the matching of List I with List II:

I. 1556 - (E) Accession of Akbar: In 1556, Akbar the Great, the third Mughal emperor of India, ascended the throne at the age of 13 after the death of his father Humayun. Akbar`s accession marked the beginning of his rule and the consolidation of the Mughal Empire.

II. 1600 - (D) Grant of Charter to East India Company: In 1600, Queen Elizabeth I of England granted a royal charter to the English East India Company. This charter gave the company a monopoly on English trade with the East Indies and established the foundation for British colonialism in India.

III. 1686 - (C) Death of Shivaji: In 1686, Shivaji Bhonsle, the founder of the Maratha Empire in western India, passed away. Shivaji was a prominent figure in Indian history known for his military and administrative skills and for challenging Mughal rule.

IV. 1739 - (B) Nadir Shah`s capture of Delhi: In 1739, Nadir Shah, the ruler of the Persian Empire, launched an invasion of India and captured Delhi. The invasion resulted in the sack of Delhi and the plundering of its wealth by Nadir Shah`s forces.

Therefore, the correct matching of List I with List II is:

I-E, II-D, III-C, IV-B