This page illustrates Agapanthus hybrids and cultivars.
Agapanthus 'Ellamae' obtained from Plant Delights flowered after spending its first northern winter below an east facing window. It was moved outside when things warmed up in New Jersey. Photo by Arnold Trachtenberg
Agapanthus hybrids pictured below from Mary Sue Ittner were given to her by Jim Robinett who grew them from seed he collected from plants he admired growing in Washington state. They are most likely hybrids and not a species. Most of them are dark purple, but one was white with purple tinges on the tips. They bloom in summer and are mostly evergreen although they look a bit ratty in winter. If any deer visit, they eat the leaves and flowers.
Agapanthus inapertus subsp. pendulus'Graskop' is a cultivar with a compact head of drooping, dark violet blue flowers. More info on this most amazing cultivar can be found at link. The photo from Rogan Roth was taken in the Kirstenbosch National Botanical Garden, Cape Town.