Match List I with List II:

List I	List II
[1] Hamlet	[1] 1606
[2] Macbeth	[2] 1599
[3] Julius Caesar	[3] 1604
[4] Othello	[4] 1600

The correct option is (A)-(IV), (B)-(I), (C)-(II), (D)-(III).

To match each play from List I to its corresponding year of composition or first recorded performance from List II, we refer to the historical and academic consensus of Shakespeare's works:

• (A) Hamlet matches with (IV) 1600: Shakespeare's landmark tragedy Hamlet is widely believed by scholars to have been written and first performed around the year 1600 (often dated between 1599 and 1601).

• (B) Macbeth matches with (I) 1606: Macbeth, one of Shakespeare's darkest and most intense tragedies, is generally accepted to have been composed in 1606, written shortly after the Gunpowder Plot of 1599/1605 and during the reign of King James I.

• (C) Julius Caesar matches with (II) 1599: This famous Roman play was first performed in 1599. We know this from the travel diary of Swiss physician Thomas Platter, who recorded seeing a production of Julius Caesar at the Globe Theatre in September 1599.

• (D) Othello matches with (III) 1604: The tragedy of Othello has its earliest recorded performance on November 1, 1604, at Whitehall Palace in London, placing its composition around 1603–1604.

Combining these matches, we get:
- (A) Hamlet → (IV) 1600
- (B) Macbeth → (I) 1606
- (C) Julius Caesar → (II) 1599
- (D) Othello → (III) 1604