This type of landscaping is call xeriscaping, which means to landscape and garden in ways that reduce or eliminate the need for supplemental water from irrigation. All plants need water during establishment and extreme periods of drought, although once established, these plants will perform well without too much attention.
Here is a list of perennials that are considered drought tolerant:
Achillea – Yarrow
Arctostaphylos uva-ursi – Bearberry
Ameria maritima – Sea Thrift
Artemisia – Wormwood
Asclepias tuberosa – Butterfly weed
Baptisia australis – Blue indigo
Centranthus ruber – Red Valerian
Centaurea montana – Bachelor’s Button
Cerastium tomentosum – Snow in Summer
Coreopsis – Tickseed
Echinaea purpurea – Coneflower
Echinops ritro – Globe thistle
Eryngium – Sea Holly
Euphorbia – Spurge
Festuca glauca – Blue Fescue
Helianthus salicifolius – Willow leaf sunflower
Iberis sempervirens – Candytuft
Lavandula – Lavander
Liatris -Blazing star
Perovskia – Russian Sage
Rudbeckia hirta – Black eyed Susan
Saponaria – Soapwort
Santolina – Lavander cotton
Sedum – Stonecrop
Sempervivum tectorum – Hens and Chicks
Stachys – Lamb’s ear
Teucrium – Germander
Thymus – Thyme
Vinca minor – Myrtle