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 understand why this match is correct, let us look at the composition and publication chronology of William Shakespeare's famous plays listed in the question:
1. Hamlet (A): Scholars generally date the writing of Shakespeare's famous tragedy Hamlet to around 1600. Therefore, [1] Hamlet matches with [4] 1600, which corresponds to (A)-(IV).
2. Macbeth (B): The tragedy of Macbeth is widely believed by historians and literary scholars to have been written in 1606, during the reign of King James I. Therefore, [2] Macbeth matches with [1] 1606, which corresponds to (B)-(I).
3. Julius Caesar (C): Shakespeare's historical tragedy Julius Caesar is believed to have been first performed in 1599. Therefore, [3] Julius Caesar matches with [2] 1599, which corresponds to (C)-(II).
4. Othello (D): The tragedy of Othello is commonly dated to approximately 1604. Therefore, [4] Othello matches with [3] 1604, which corresponds to (D)-(III).

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

This matches perfectly with the option (A)-(IV), (B)-(I), (C)-(II), (D)-(III).