Bamichas was born in Delvina, modern southern Albania (Northern Epirus), then Ottoman Empire. After finishing ground level studies in his home town, he went to Geneva, where he studied law. Back to Delvina, he was involved in various patriotic initiatives and in 1914 he had to move to nearby Corfu, Greece. However, at the same year he returned and participated in the struggle for the establishment of the Autonomous Republic of Northern Epirus. In the 1915 elections, while Northern Epirus was under temporary Greek control, he was elected as a member of the Greek Parliament. During this period he cooperated closely with the later anti-Venizelist Ion Dragoumis. In 1919 he went to the Paris Peace Conference as part of the Northern Epirote delegation under Alexandros Karapanos. Bamichas lived the rest of his life in Corfu.
He published in Corfu the Codex of the Church of the city of Delvina (Greek: Κώδιξ του Ναού της Πόλεως του Δελβίνου) which contains significant historical information about the forced 17th century islamizations and persecutions of the Christian element in Delvina and the wider region.
- "Εργαστήρι Ερευνών Νεοελληνικής Φιλοσοφίας". University of Ioannina. Retrieved 10 January 2012.
- Σούλης, Χ. Ι. (1930). "Θεμιστοκλής Β. Μπαμίχας". Ηπειρωτικά Χρονικά 5 (Α, Β): 186–187.
- Rathberger, Hrsg. von Oliver-Jens Schmitt. Red.: Andreas (2010). Religion und Kultur im albanischsprachigen Südosteuropa (1., Aufl. ed.). Frankfurt am Main: Lang. p. 85. ISBN 978-3-631-60295-9.
- Vakalopoulos, Apostolos Euangelou (1970). Origins of the Greek nation: the Byzantine period, 1204-1461. Rutgers University Press. p. 301.
- Themistoklis Bamichas Codex of the Church of the city of Delvina Ἠπειρωτικὰ Χρονικά, 5 (1930), σσ. 56-75 (Greek)