Born in Érd, Laki studied voice at the Franz Liszt Academy of Music in Budapest with József Réti.
She made her debut in 1971 as Gilda in Verdi's Rigoletto at the Stadttheater Bern, where she also appeared as the Queen of the Night in Mozart's Die Zauberflöte and as Sophie in Der Rosenkavalier by Richard Strauss.
She appeared in 1977 at La Scala in Milan as Blonde in Mozart's Die Entführung aus dem Serail, directed by Giorgio Strehler, and alongside Edita Gruberová as Konstanze.
She has held master classes internationally and has been a juror at music competitions.
[2] Laki has recorded several little known works, including by composers such as Gottfried von Einem, Pal Esterhazy, Niccolò Jommelli, Josef Mysliveček, Giovanni Paisiello, Antonio Salieri (Lieder), parts in Singspiele by Ernst Theodor Amadeus Hoffmann and Felix Mendelssohn, and notably Zemina in Wagner's early opera Die Feen.