At first Georgi Minchev took part in the group, too, and with him they made their first success: the song "Byala Tishina" ("Бяла тишина"; "White Silence") of the composer Boris Karadimchev, winning the national award of Zlatnia Orfey ("Златния Орфей", the Golden Orpheus).

In 1968, the group issued their first EP containing the songs "Veselina" ("Веселина", lyrics: Radoy Ralin), "Zvăn" ("Звън"; Ringing), "Malkiat Svetăl Prozorets" ("Малкият светъл прозорец"; Little Bright Window) and "Izprashtane" ("Изпращане", Dispatch).

It was not until 1976 that they recorded their first homonymous LP with its hit single "Day Mi Malko Nezhnost" ("Дай ми малко нежност"; "Give Me A Little Tenderness").

In 1980, Shturtsite issued XX vek (20th Century), featuring the hits "Dve sledi", the title track and "Svatben den".

Two years later, the double LP Vkusăt na vremeto (The Taste of Time) was issued, featuring many hits, such as the title track.

In 1990, the band released their final single, "Az săm prosto chovek", which became a popular anthem for Bulgarian democracy in the 1990s.

Later that year, Balkanton released a compilation called The Crickets, which mainly consists of tracks from Musketarski marsh and also included a live version of the song "XX vek" (the recording is taken from 20 godini po-kăsno).

The song is a re-recording of a track written for and previously featured in the film Vchera (1988) in 1987 and later appeared on the Kiril Marichkov solo album Zodia Shturets, from whose sessions the recording is taken.

Their first 3 singles, "Zvăn", "Pesen za Shturtsite" and "Ti ne razbra", as well as Konnikăt and Musketarski marsh, were included in full on the discs.

In 2011, he had stated that Shturtsite would hold a big concert with a symphony orchestra to end the band and celebrate 45 years of existence, plus record an acoustic CD containing their hits.