Although heliskiing is not permitted in France, due to Avoriaz’s proximity to Switzerland it is possible to arrange a day’s heliskiing over the border.
There is an enormous range of off-piste and back-country skiing in the Portes du Soleil area. Spend a day with a guide exploring the areas inaccessible by lift. Most of the ski hire shops have touring skis and off-piste equipment available for hire.