Ground cover between bricks?
It depends on what you want to accomplish. Bricks imply a walkway which would suggest a very low growing, east to care for plant such as grass. But since you would already be aware of grass as an alternative I’m going to list a wide variety of perennial plants that you might want to consider.
Creeping sedum, liriope or leadwort, California poppies, larkspur, nicotiana, Verbena bonariensis, cleome and butterfly flower. Those not only are good at planting themselves each spring, they get along without the water needed by greenhouse-grown impatiens, petunias, coleus and the like.
Plants at home in sunny Mediterranean and dry climates – primarily plants with waxy-coated leaves that limit evaporation loss are recognized by their blue and silver leaves — species such as lavender, artemisia, caryopteris, dianthus, euphorbia and agastache.
There are also succulents and rock-garden stars, such as sedums, hens and chicks, yucca and the sun-tolerant Rocky Mountain columbine (nicknamed “pasqueflower,” this one is a lavender-blooming perennial that looks a bit like hardy geranium).
Finally, several with silvery gray foliage are artemisia (Artemisia), snow-in-summer (Cerastium tomentosum), and woolly yarrow (Achillea tomentosa). As a bonus, snow-in-summer bears white flowers, and woolly yarrow produces yellow blooms. Other blooming ground covers for sun include rock rose (Helianthemum nummularium), moss phlox (Phlox subulata), trailing lantana (Lantana montevidensis), and ground cover shrub rose (Rosa).
The herbs lavender (Lavandula), dwarf rosemary (Rosmarinus), and lavender cotton (Santolina) are good ground covers for sun. Juniper (Juniperus), sedum (Sedum, Hylotelephium), and creeping manzanita (Arctostaphy-los) are also good choices.
Hopefully this is of some help. Good luck with your efforts.