Astrophel is an elegy by Edmund Spenser.
Lycidas is a pastoral elegy by John Milton.
Adonais is an elegy written by P.B. Shelley on the death of John Keats.
Thyrsis is an elegy by Matthew Arnold.
Therefore, the correct matching is:
\[
A-I,\quad B-III,\quad C-II,\quad D-IV.
\]
Hence, the correct answer is option (B).