There are three drama productions a year and a number of workshops and masterclasses, run by theatre professionals, as well as showcases and theatre trips.  Girls can gain production and technical skills as well as theatrical training, and many have private LAMDA lessons.  The standard of drama at Queen Anne's is very high and several students have won places in the National Youth Theatre.

In music the girls are able to develop their confidence and performance skills at a range of formal and informal musical events and workshops. there are three choirs, an orchestra, ensemble groups, jazz and swing bands.  The girls sing at the school's triennial service at Westminster Abbey and the carol service at Dorchester Abbey.  Choir tours are organised to add to their performance opportunities and the annual music festival gives all the girls a chance to take part.