The group's programmes focus on a particular composer, time or genre, and its membership therefore varies as required around five main players.

Its concert programmes are vocal and/or instrumental.

Different projects have been realised a.o. : Music from the Montecassino manuscript and the Aragonese Kingdom in Naples (15th and 16th century), French chansons of Benedictus Appenzeller (pupil of Josquin 16th century) and Vita et Fortuna (biographical music of contemporaries of J.Ockeghem).

On the 500th anniversary of the establishment of the Habsburg' Royal Chapel in Vienna, the group took part in a series of concerts in Vienna entitled Musica Imperialis. Parts of these programmes are recorded on CD by the Austrian broadcasting company.

La Caccia often adopts the alta capella formation, a combination of wind and brass such as shawms, dulcians and trombones, popular at court during the fiftheenth century and used at all kinds of festivities during the sixteenth and the seventeenth century.

La Caccia performed on concerts of important festivals in Europe.