The list of plants that could be classified as blue is open to interpretation, but here are some of the more commonly available blue-flowered plants that are well suited to garden and landscape use.
Annuals
Annual lobelia (Lobelia erinus), full sun to partial shade, to 9 inches tall
Borage (Borago officinalis), full sun to partial shade, to 24 inches tall
Browallia (Browallia speciosa), partial to full shade, to 24 inches tall
Chickling pea (Lathyrus sativus), full sun, to 3 feet tall
Felicia (Felicia amoena), full sun, to 24 inches tall
Love-in-a-mist (Nigella damascena ‘Oxford Blue'), full sun, to 2 feet tall
Morning glory (Ipomoea tricolor ‘Heavenly Blue'), full sun, to 12 feet tall
Spanish bluebell (Hyacinthoides hispanica), full sun to partial shade, 16 inches tall
Texas bluebonnet (Lupinus texensis), full sun, to 12 inches tall
Bulbs
Chilean blue crocus (Tecophilaea cyanocrocus, Zones 7 to 9), full sun, to 4 inches tall
Flowering onion (Allium caeruleum, Zones 4 to 10), full sun, to 24 inches tall
Glory of the snow (Chionodoxa luciliae, Zones 3 to 9), full sun to partial shade, to 6 inches tall
Grape hyacinth (Muscari armeniacum, Zones 4 to 8), full sun to partial shade, to 8 inches tall
Hyacinth (Hyacinthus orientalis ‘Blue Jacket', Zones 5 to 9), full sun, to 12 inches tall
Lily of the Nile (Agapanthus campanulatus, Zones 7 to 10), full sun, to 48 inches tall
Quamash (Camassia leichtlinii, Zones 4 to 10), full sun to partial shade, to 54 inches tall
Siberian squill (Scilla siberica, Zones 5 to 8), full sun to partial shade, to 8 inches tall
Perennials and biennials
Amsonia (Amsonia tabernaemontana, Zones 3 to 9), full sun, to 24 inches tall
Bellflower (Campanula carpatica ‘Blue Clips', Zones 4 to 7), full sun to partial shade, to 10 inches tall
Blue bugloss (Anchusa azurea, Zones 3 to 8), full sun, to 5 feet tall
Blue-eyed grass (Sisyrinchium graminoides, Zones 5 to 8), full sun, to 24 inches tall
Catmint (Nepeta sibirica, Zones 3 to 8), full sun, to 36 inches tall
Chinese forget-me-not (Cynoglossum amabile, Zones 5 to 8), full sun to partial shade, to 24 inches tall
Fan columbine (Aquilegia caerulea, Zones 3 to 8), full sun to partial shade, to 24 inches tall
Common periwinkle (Vinca minor, Zones 4 to 9), full sun to full shade, to 8 inches tall
Corydalis (Corydalis flexuosa, Zones 6 to 8), partial shade, to 12 inches tall
Crested gentian (Gentiana septemfida, Zones 6 to 8), sun to partial shade, to 8 inches tall
Delphinium (Delphinium grandiflorum ‘Blue Butterfly', Zones 4 to 7), full sun, to 24 inches tall
Flax (Linum perenne, Zones 5 to 8), full sun to partial shade, to 24 inches tall
Forget-me-not (Myosotis alpestris, Zones 4 to 8), full sun to partial shade, to 8 inches tall
Globe thistle (Echinops ritro, Zones 3 to 9), full sun, to 24 inches tall
Himalayan blue poppy (Meconopsis betonicifolia, Zones 7 to 8), partial shade, to 48 inches tall
Hungarian speedwell (Veronica austriaca subsp. teucrium, Zones 6 to 8), full sun to partial shade, to 36 inches tall
Leadplant (Ceratostigma plumbaginoides, Zones 6 to 9), full sun to partial shade, to 18 inches tall
Lungwort (Pulmonaria angustifolia, Zones 4 to 8), partial to full shade, to 12 inches tall
Monkshood (Aconitum x cammarum ‘Bicolor', Zones 3 to 7), partial shade, to 6 feet tall
Mountain bluet (Centaurea montana, Zones 3 to 8), full sun to partial shade, to 18 inches tall
Nemesia (Nemesia caerulea, Zones 9 to 10; in cooler areas, treat as an annual), full sun, to 24 inches tall
Omphalodes (Omphalodes cappadocica, Zones 6 to 8), partial shade, to 10 inches tall
Pansy (Viola x wittrockiana, Zones 4 to 8; often treated as an annual), full sun to partial shade, to 12 inches tall
Perennial geranium (Geranium himalayense, Zones 4 to 7), full sun to partial shade, to 18 inches tall
Pincushion flower (Scabiosa caucasica, Zones 4 to 9), full sun to partial shade, to 24 inches tall
Sage (Salvia patens, Zones 8 to 9), full sun, to 24 inches tall
Siberian bugloss (Brunnera macrophylla, Zones 3 to 7), partial shade, to 18 inches tall
Virginia bluebells (Mertensia pulmonarioides, Zones 3 to 7), partial shade, to 18 inches tall
Shrubs and vines
Butterfly bush (Buddleja davidii, Zones 5 to 9), full sun, to 10 feet tall
Bluebeard (Caryopteris x clandonensis, Zones 6 to 9), full sun to partial shade, to 36 inches tall
Bigleaf hydrangea (Hydrangea macrophylla, Zones 6 to 9), full sun to partial shade, to 6 feet tall
Chaste tree (Vitex agnus-castus, Zones 6 to 9), full sun, to 25 feet tall
Lilac (Syringa vulgaris ‘Wedgewood Blue', Zones 4 to 8), full sun, to 22 feet tall
Passionflower (Passiflora caerulea, Zones 6 to 9), full sun, to 30 feet tall
Wisteria (Wisteria floribunda, Zones 5 to 9), full sun, to 30 feet tall