Their personal debut album, " Άχρηστα Ρολόγια "[1] (Useless clocks), was released in November 1999.

In March 2004, Domenica had their third release, " Ιστορίες για μικρούς και μεγάλους "[4][5](Stories for children and adults), and the song "Λίγη ζωή ακόμη" (Some more life) also became a hit single and received an award.

In 2009, they released the album " Λήθη "[8](Oblivion) and in 2012 a single called 'Μια ματιά σου μπορεί' (A look of you is enough).Domenica have set to music a certain number of poems by Napoleon Lapathiotis and Mitsos Papanikolaou.

In August 2021 a new song has digitally released called " Sigrou" In December 2022 they released "Storgi" In 2003 Domenica were nominated for and won an Arion Music award for "Best band of entekhno".

In April 2005, they were once again nominated for and won the Arion Music award for "Best alternative album".