[3] After the duo Hani split in the late 1960s, Kovačiček started a solo career by performing at various European clubs with many successful musicians, including Bill Haley, The Kinks and The Ink Spots.

In 1970, at the Opatija Festival, she performed the song "Zbog jedne melodije davne" [Due to an Old Tune] and won the prize of the jury.

The same year, she performed the Vojkan Borisavljević-composed song "Ljubav" [Love] at the Belgrade Spring Festival and won the debutante prize.

At that time, her name was mentioned in rock and jazz music, she performed on every major blues and soul ensemble, received many awards, and was proclaimed the best female vocal in Yugoslavia.

In 1976, she founded the rhythm, blues, rock, and soul band Zdenka Express, with whom she performed the song "Hallo, Mr. Elton John" which is on the concert compilation of the BOOM festival '76.

In 1978, Kovačiček recorded an album with Igor Savin's big band that included compositions of prominent composers such as Goran Bregović, Kornelije Kovač, Vanja Lisak, Vladimir Delač and others.

Material music was written by Kire Mitrev while the lyrics were from the book "Konstatacija jedne mačke" [Finding of a Cat]" by Slavica Maras-Mikulandra.

At that time, she frequently performed with the Telephone blues band led by bassist Tomas Krkac (former member of Nirvana), most often at the "Disco club Saloon" at the so-called "Ruby Tuesday".

The album includes songs "Dobro veče jazzeri" [Good evening jazzers], "Mercedes-Benz" (originally sang by Janis Joplin), and "Zbog jedne davne melodije" [Because of an Old Melody].

At the 2000 Zagreb Festival, she received the Grand Prix and won with the song "Vrati se u moje dane" [Return to My Days] which was at the top of Croatian music charts.

[6] At the beginning of 2000, Croatian Radiotelevision recorded many of her performances, including "Do zvijezda zajedno" [To the Starts Together] and one hour TV show "I to sam ja" [And That's Me].

In the same year, Kovačiček signed a contract with the record label Cantus and released the album "Ja živim svoj san" [I Live My Dream] in which she sang songs by Marko Tomasović.

In 1979, she performed as grandma Urša at the Zagreb Comedy Theater's rock opera Grička vještica which was produced by Karlo Metikoš, Ivica Krajač, and Miljenko Prohaska.

Afterward, she received an invitation from famous director Damir Zlatar Frey to perform in Slovene's permanent audience in Trieste in 2002 as the main character in the rock opera "Princess of Grain Beans" [Princessa na zrnu graha].