| Composer | Title | Year | Pages & duration |
| Tattersall, Malcolm | Kyrie | 1979 | 2p. |
| Taylor, M. F. | Larghetto delicato | 1992 | 3p. |
| Taylor, Peter | Bourree in G major | 1944 | |
| Terry, John (1934-) | Rakians | ||
| Prelude to "Veni Emmanuel" Op. 17 | 1971 | 5m. | |
| Four preludes Op. 25 | 1975 | 14m. | |
| Thalben-Ball, George (1896-1987) | Edwardia in the Hovingham sketches | ||
| Rhapsody on the chorale "Burford" | 1918 | ||
| Elegy in F in the Little organ book for C. H. H. Parry | 1924 | 4p. 4m. | |
| Toccata in the French style | c. 1935 | ||
| Elegy in B flat | 1944 | 4p. 5m. | |
| Tune in E in the style of John Stanley | 1945 | 5p. 4m. | |
| Variations on a theme by Paganini: A study for pedals | 1962 | 8p. 7m. | |
| 113 variations on hymn tunes | 1969 | 95p. | |
| Two Birmingham pieces Toccata beorma Poema |
1980 | 16p. 10m. | |
| Thomas, Ian L. | Gigue in B flat | 1950 | |
| Ode to the holy child | 1954 | ||
| Pastorale | 1964 | ||
| Sonata no. 1 | 1965 | ||
| Adoration - to A. C. T | 1975 | ||
| Beatitude four | 1978 | ||
| Tuba tune | 1981 | ||
| Cathedral no. 1 | 1983 | ||
| Processional | 1983 | ||
| Thorn, Benjamin (1961-) | Much cuckoo for eight recorders & organ | 1980 | 5p. 5m. |
| Thwaites, Penelope (1944-) | Carillon | 1973 | 8p. |
| Psalm 19 for voice, piano or organ | 1973 | 8p. | |
| Fanfare | 1979 | 5p. | |
| Tibbits, George (1933-) | Fantasy on the ABC commissioned by MOH 1975 | 1975 | 10p. 8m. |
| Fantasy on the planetary tones (with orchestra) | 1985 | 38p. 10m. | |
| Torrance, George W. (1835-1907) | The Melbourne Exhibition march | c. 1880 | 6p. 5m. |
| Transini, Robert | Wedding gigue for William Pierce | 1982 | |
| Tregaskis, H. Alan (1918-1993) | Suite for organ | ||
| Two carols | |||
| Solemn thanksgiving | 1953 | 8p. 6m. | |
| Sonata in D minor | 1954 | 19p. 12m. | |
| Two short pieces Intrada Legend |
1957 1973 |
5p. 5m. | |
| Three hymn preludes i Now rejoice all Christians ii Lord, I make to Thee confession iii Arise, O morning star (Carillon-toccata) |
1965 | 12p. 10m. | |
| Passacaille for organ | 1968 | 9p. 5m. | |
| Two short pieces Legend Processional |
1975 | ||
| Passacaille | 1987 | 7p. | |
| Truman, Ernest P. (1870-1948) | Grand pedal solo on "O sanctissima" | 9m. | |
| Suite for organ | |||
| Truman, Philip | Fanfare for organ & three trumpets | 1969 | 4p. |
| Trumble, Robert | Meditation on the name BACH | 1984 | |
| Turner, Austin T. (fl. 1858-1880) | Australia march | 1872 | MS lost |