There are many ways to grow a plant. Grow from cuttings and root divisions, layering, or the most traditional way--by sowing seed. Some plants do not grow from seed, or grow poorly from seed, and others--like the ones listed--grow well from the seed-sowing method.
Brazilian Vaseplant, or Aechmea distichantha, is from the Bromeliaceae, or pineapple, family. It is an evergreen perennial. Shaped like a funnel and up to 3 feet tall, the brazilian vaseplant has dull green leaves and blue, white, or purple spikes of flowers. Plant this plant in bright light without direct sunlight and water regularly. Soils must be neutral or slightly acidic. Propagate via seed or by offsets.
Cardboard Palm, or Zamia furfuracea, is from the Zamiaceae, or coontie, family. It is a fast growing evergreen perennial that is drought tolerant. Leaves are 3 to 4 feet tall with a 3 foot high clump of spreading leaves. Leaves have the feel of cardboard. Seeds are 1 inch and bright red. Plant a cardboard palm in well drained neutral soil with partial shade or bright sun. Propagate via the seed.
Papaya, or Carica papaya, is from the Caricaceae, or papaya, family. It is easy and fast growing. Papaya gets 6 to 20 feet tall with leaves up to 2 feet wide. Fruits are green, rose, orange, or yellow and up to 20 pounds. Plant a papaya in well drained soil in full sun for the sweetest fruit. Propagate via seed, cuttings, or by grafting.
Coreopsis, or Coreopsis grandiflora, is from the Asteraceae/Compositae, or aster/daisy, family. It is a fast growing perennial that is easy to grow and will attract butterflies. It will get 1.5 to 4 feet in height with deep gold to yellow flowers 2 to 3 inches wide. Plant a coreopsis in medium to full sun and propagate via spring clump division or by seed.
Purple Sage, or Leucophyllum frutescens, is from the Scrophulariaceae, or figwort, family. It is an evergreen drought resistant shrub that gets 3 to 5 feet tall. Leaves are an inch or under in width and flowers are the same. Flowers are white, pink, blue, purple, or lavender and appear after it rains. Plant a purple sage plant in full sun and in well drained soil. Propagate via seed or by summer cuttings.
Japanese Privet, or Ligustrum japonicum, is from the Oleaceae, or olive, family. It is a fragrant evergreen that is easy and fast growing. This will get 6 to 12 feet tall with evergreen pear shaped leaves. Flowers are white and in terminal clusters. Green berries that turn black appear in winter. Plant a Japanese privet plant in sun or partial shade in any soil. Propagate via grafting, cuttings, or by seed.