Select Sufi Mystics:
*Underlined: Of primary interest to me personally
Rabi'a al-Adawiyya (717-801) (aka The Muslim St Theresa or a Second spotless Mary
Abu'l-Fayd Thawban B. Ibrahim Dhu'l-Nun Al-Misri (859)
Husayn B. Mansur Al-Hallaj (854-922) (aka The Saint of Baghdad)
Ibn Sina (Avicenna) (1037)
Abu Hamid al-Ghazali (1058-1111): The Revivification of Religion
Farid Al-Din Attar (d. 1229): The Memoirs of the Saints
Nur Ad-Din Al-Shadhili (1196-1258)
Jalal Al-Din Rumi (1207-1273): Instituted the mystical dances or Dancing Dervishes aka The Brethren of Love

Sufi Mystics (Chronoligical):
**Main reference M.Smith's, Mystics of Islam
Hasan Al-Basri (728): Foundation of the "Science of Hearts"
Ibrahim B. Adham (777)
Rabi'a al-Adawiyya (717-801) (aka The Muslim St Theresa or a Second spotless Mary
Abu Abdallah A.B. Asim Al-Antaki (835): The Explorer of Hearts
Harith B. Asad Al-Muhasibi (857)
Abu Sa Id Ahmad B. Bashr B. Ziyad B. Al-Arabi (9th Century)
Abu'l-Fayd Thawban B. Ibrahim Dhu'l-Nun Al-Misri (859)
Yahya b. Mu Adh Al-Razi (871)
Abu Yazid Tayfur Al.Bistami (aka Bayazid Bistami) (875)
Abu Sa Id Ahmad B. Isa Al-Kharraz (899)
Ahmad b. M. Abu'l-Husayn Al-Nuri (907)
Amr B. Uthman Al-Makki (909): Book of Contemplation; Book of Love
Abu'l-Qasim B. M. Al-Junayd (910): Book on Unification; On the Remedy of Souls
Husayn B. Mansur Al-Hallaj (854-922) (aka The Saint of Baghdad)
"After a long imprisonment for preaching heresy, he was put to a cruel death"
Abd Al-Jabbar Ibn Al-Husayn Al-Niffari (965)
Ikhwan Al-Safa: The Brethren of Purity (10th Century)
Abu Nasr Al-Sarraj (988)
Abu Bakr Al-Kalabadhi (995)
Abu Talib Al-Makki: The Food of Hearts (996)
Ibn Sina (Avicenna) (1037)
Abu Sa'Id b. Abi'l-Khayr (1048)
Abu'l-Qasim Al-Qushayri (1074)
Abu'l-Hasan Al-Jullabi Al-Hujwiri (1079): The Unveiling of the Veiled
Abu Hamid al-Ghazali (1058-1111): The Revivification of Religion
Abu'l-Majdud B. Adam Sana'i (1150):The Garden of Truth
Abd Al-Qadir Jilani (1166): The patron saint of Baghdad
Shihab Al-Din Suhrawardi Halabi Al-Maqtul (1191): called himself, The Seeker of the Invisible World
Farid Al-Din Attar (d. 1229): The Memoirs of the Saints
Shihab Al-Din Abu Hafs Al-Suhrawardi (1155-1191 or 1234?)
Umar Ibn Al-Farid (1235) called the Greatest of Arab mystical poets
Muhyi Al-Din Ibn Al-Arabi (1165-1240)
Nur Ad-Din Al-Shadhili (1196-1258)
Jalal Al-Din Rumi (1207-1273): Instituted the mystical dances or Dancing Dervishes aka The Brethren of Love
Mahmud Shabistari (1320)
Shams Al-Din Hafiz (1389)
Abd Al-Karim Jili (1428): The Man Perfect in Knowledge of the Last Things and the First
Abd Al-Rahman Jami (1414-1492): Flashes of Light
Abd Al-Wahhab Al-Sharani (1565)
Fatima Jahanara Begum Sahib (1681)
Ahmad Hatif of Isfahan (1784)
Qurrat Al-Ayn called also Janab-I-Tahira (1852)
Muhammad Amin al-Kurdi al-Shafi'i al-Naqshabandi (d. 1914)
Sir Muhammad Iqbal (1877-1938)
Inayat Khan (1882-1926)

Individual Works/Translations:
Al Ghazzali
Al Ghazzali The Confessions (C. Field, tr., 1909)
Al Ghazzali: Confessions, Some Religious and Moral Teachings (trans. Syed Nawas Ali, 1921)
W. Watt: The Faith and Practice of Al-Ghazali (1951)
L. Zolondek, trans: Al-Ghazali's Ihya Ulum al-Din
Nawali Ali: Religious and Moral teachings of Al Ghazzali (1921)
Al Hallaj
S. Kamali, trans: Incoherence of the Philosophers (1958)
D.S. Margoliouth: "Notice of the Writings of Al-Harith Al-Muhasibu, the First Sufi Author"
Margaret Smith:
Rabi'a the Mystic and Her Fellow Saints in Islam (1928)
R. Nicholson, trans: Rumi, Poet and Mystic (1207-1273): Selections (1950)
Al Shadhili: The Mystical Teachings of Al-Shadhili: Including his Life, Prayers, Letters, &c
A.J. Arberry, trans: Poems of a Persian Sufi, Being the Quatrains of Baba Tahir (1937)
Yusuf and Zulaikha, trans. R.T.H. Griffith, London 1882
(One of the most famous mystical love romances in Persian Lit)

General Works/Translations:
Syed Ameer Ali: The Spirit of Islam or The Life and Teachings of Mohammed (1896)
A.J. Arberry, trans: Poems of a Persian Sufi, Being the Quatrains of Baba Tahir (1937)
T.W. Arnold: Preaching of Islam (1913)
Sir Thomas Arnold and A. Guillaume: The Legacy of Islam (1931)
E.G. Browne: Literary History of Persia ((1902-1906)
Shaikh Muhammed Iqbal: The Development of Metaphysics in Persia (1908)
W. Irving: Lives of Mahomet and his Successors (1850)
M. Z. Khan: Islam: Its Meaning for Modern Times
F. Klein: The Religion of Islam (1906)
D.B. Macdonald:
Muslim Theology (1903)
The Religious Life and Attitude In Islam (Chicago, 1909)
D.S. Margoliouth:
The Early Development of Mohammedanism (1913)
Mohammed and the Rise of Islam (1905)
W. Muir: Life of Mahomet and History of Islam (1856-61)
E.H. Palmer: Oriental Mysticism, Cambridge 1867
Reynold A. Nicholson:
Rumi: Selections (1950)
Tales of Mystic Meaning
The Mystics of Islam (1914)
Studies in Islamic Mysticism (1921)
The Idea of Personality in Sufism (1923)
F. Rahman: Prophecy in Islam
AnneMarie Schimmel: Mystical Dimensions of Islam (1975)
I. Shah: The Sufis (1964)
Margaret Smith:
The Sufi Path of Love, An Anthology of Sufism (1954)
Readings from the Mystics of Islam (1950)
Studies in Early Mysticism in the Near and Middle East

Primary Islamic Philosophers (see also Philosophy)
Al-Ghazali (aka Algazel) (1058-1111)
Al-Kindi (d. after 870)
Al-Farabi (875-950)
Brethren of Purity (10th Century)
Avicenna (Abu Ali ibn-Sina) (980-1037)
Averroes (ibn-Rushd) (1126-1198)
Abu'l-Barakat ibn-Malka (aka Abu'l-Barakat al-Baghdadi) (d.1174)
Fakhr al-Din ar-Razi (1149-1209)
Mulla Sadra (1571-1640)

Secondary Works
T. Boer: The History of Philosophy in Islam (1903)
W. Watt: Islaimic Surveys (1962)
M. Sharif, ed: A History of Islamic Philosophy (1963)
S. van den Bergh: The Incoherence of the Incoherence (1954)
Reynold A. Nicholson: Literary History of the Arabs (1907)