Flower boxes and planters can really bring a bit of the outdoors closer to the home, whether in window boxes or in patio planters. For full sun areas you'll need plants that can take being a container plant and in full direct heat and sun. Add the desire for year-round blooms and the list narrows considerably--but you do have options.
Setcreasea pallida, the purple heart, is a perennial. It will get up to 1 foot tall and 1 to 3 feet wide in a spreading shape with medium growth rate. Grow a purple heart in full sun and part sun/shade in well drained soil. It has a high salt tolerance and can tolerate acidic soil. Pink flowers are year round with evergreen purplish-red leaves in a medium texture.
Allamanda cathartica, the yellow allamanda, is a vine. It has a variable growth habit, an irregular shape, and a fast growth rate. Grow a yellow allamanda in full sun in well drained soil. It has a tolerance of acidic soil and a moderate salt tolerance. Flowers are showy and yellow, year -round. Leaves are evergreen and have a coarse texture.
Caesalpinia pulcherrima, the dwarf Poinciana, is a shrub. It can get 10 to 15 feet tall and 6 to 10 feet wide. It has a shape like a vase and a fast growth rate. Grow a dwarf Poinciana in full sun in well drained soil. Flowers are showy and year round in red, yellow, or orange. Leaves are fine textured and evergreen.
Cyperus alternifolius, the umbrella sedge, is a perennial shrub. It will get 4 to 6 feet tall and 3 to 6 feet wide in an upright shape with medium growth rate. Grow umbrella sedge in full sun or part sun/shade in well-drained soil. Flowers are green and showy, year-round. Leaves are evergreen and of fine texture.
Hibiscus rosa-sinensis, the hibiscus, is a shrub. It will get 10 to 15 feet tall and 6 to 10 feet wide. It has an oval shape and a fast growth rate. Grow a hibiscus in full sun or partial sun/shade in well drained soil. Flowers are showy and white, red, pink, orange, yellow, or salmon and are year-round. Leaves are variegated broadleaf evergreen and medium in texture.
Limonium sinuatum, the statice, is an annual. It will get 1 to 2 feet tall and 1 foot wide. It has an upright shape and a medium growth rate. Grow a statice in full sun in well drained soil. Flowers are showy and year-round in the colors of blue, pink, lavender, white, yellow, or red. Leaves are medium textured and green.