For advice on compiling an Annotated Bibliography (once you have your critical articles/books), consult the Background Sources.
Use an Author Search for books by a literary author and a Subject Search for books about a literary author:
Author: Beckett, Samuel, 1906-1989.
Subject: Beckett, Samuel, 1906-1989.
For topics not limited to a specific author, use a keyword search to identify several relevant books. Then look at the Full Records of these books to identify relevant Library of Congress Subject Headings to expand your search.
Note: LC Subject Headings use the American spelling of "theater" rather than the British spelling, "theatre."