The original line-up additionally included Stefan Machel (guitar), Janusz Niekrasz (bass) and Marek Kapłon (drums).

It won a "battle of the bands" during the 1981 Jarocin Festival at which members met Marek Piekarczyk, a singer in Sektor A.

The band's song "Zwierzenia kontestatora" ("Confessions Of A Contestant") appears in the musical documentary Behind the Iron Curtain, which documents the heavy metal band Iron Maiden's first visit to Poland and other countries in Eastern Europe.

TSA's song "Marsz wilków" ("The Marching Of The Wolves") is used in the 1983 Polish children's movie Akademia Pana Kleksa (Academy of Mr. Kleks) – a film based on Jan Brzechwa's 1964 book.

As is common of heavy metal bands with acronym-based names, "TSA" may have no meaning, although in a 2003 press release one of the founders claimed that the acronym originally meant "Tajne Stowarzyszenie Abstynentów" – "Teetotallers' Secret Association".