Which of the following poems is written by Oliver Goldsmith?

The correct option is "The Deserted Village".

Explanation:
"The Deserted Village" is a famous social commentary and poem written by the Irish writer Oliver Goldsmith, first published in 1770. The poem is written in heroic couplets and condemns the rural depopulation, the destruction of villages, and the excesses of the wealthy class during the Agrarian Revolution in 18th-century England.

Let's look at why the other options are incorrect:
- "A Deserted Village", "A Deserted Villa", and "A Deserted City" are incorrect variations of the title. The exact and correct title of Goldsmith's celebrated work uses the definite article "The", making "The Deserted Village" the correct choice.