There are many types of lilies that have none or very light scents. Here is an overview of the different species.

Asian & LA (odourless)
Longiforum & LO (slight odour)
Oriental and OT (strong odour)
Double lilies (odourless and pollen less) NEW

The lily growers are for more than 5 years now trying to plant more lilies which are odourless. The Asians and the LA are now the largest kind of lilies at this time, the double lilies are still very new and not widely available. This latest kind is certainly a success because these lilies have no pollen and there is a double flower bloom that gives a beautiful lily appearance. For the garden it is nice fragrant lilies to create a cozy feeling of relaxation and fun. It also attracts butterflies, which again gives an extra dimension to your garden.