Swamp oak (quercus palustris)

This pyramidal oak can grow up to 70 feet tall and 50 feet wide. It is hardy in zones 4 to 8, and grows in full sun and moist to swampy soil. Though they drop a lot of leaves each year (and acorns every couple of years), but they tend to stay in place rather than blowing into neighbors’ yards.

Yuapon holly (ilex vomitoria)

This small, broad-leaf evergreen grows throughout the Southeast, and is hardy in zones 7 to 10. It can grow to about 20 feet tall and 15 feet wide. If you grow both male and female plants, it will grow bright red berries through winter. It tolerates most soils and shade conditions, and is fairly drought-tolerant. However, watch small children around the plant, as the leaves can cause vomiting.

Source: http://www.networx.com/article/fastest-growing-trees-for-home-landscape