Here is a listing, in chronological order, of T.S. Eliot's poems, essays, and plays taken from the book T.S. Eliot: A Collection of Critical Essays edited by Hugh Kenner. This list does not include Eliot's stints book reviewing, corresponding in newspapers, or editing publications.
1917: Prufrock and other Observations
1920: Poems, The Sacred Wood
1922: The Waste Land (his most notable work)
1925: Poems 1909-1925 including The Hollow Men
1927-30: Ariel Poems
1930: Ash Wednesday
1931: Coriolan
1932: Selected Essays, including most of The Sacred Wood
1933: The Use of Poetry and the Use of Criticism
1934: After the Strange Gods, The Rock
1935: Murder in the Cathedral, Poems 1909-1935 including Burnt Norton
1939: The Family Reunion, Old Possum's Book of Practical Cats
1943: Four Quartets
1948: Nobel Prize for Literature, Notes Towards the Definition of Culture.
1950: The Cocktail Party
1955: The Confidential Clerk
1957: On Poetry and Poets.
1959: The Elder Statesman