Aster carolinianus (syn. Ampelaster carolinianus), or Climbing
Aster, is a wonderful addition to the fall garden, and who doesn't like an aster?  This native aster is a climbing aster, to boot. Aster 
carolinianus grows in full sun to partial shade from
six to 15 feet or more and isn't fussy - dry or moist
soil will do - and it is drought tolerant.  The alternating, oval
leaves and lavender pink, aster-like blooms put on quite a show
in late fall, especially if given a support on which to climb.  Bee and
butterfly magnet.  Quarts.  Zones (6?) 7-9.

Aster laevis, commonly known as Smooth Blue Aster, is just that:  smooth to the touch.  Unlike many asters that have hairy stems and leaves, Aster laevis, does not.  Not only are the leaves hairless, but their color is a lovely blue/green.  This handsome native wildflower grows from two to three feet tall and in fall, violet blue flowers appear in terminal clusters, each flower about one inch across.  I have grown Aster laevis in my own garden for a number of years and wouldn't be without it.  For some reason, it isn't often seen in cultivated gardens, but it should be.  Dappled shade/full shade in Zones 4-8.   (Photo from Wiki Commons and in the public domain.)

Nothing bespeaks fall like New England Asters.  This Aster, originally from Montrose Nursery, has deep lavender blooms, each with a bright yellow eye.  This perennial Aster grows from three to four feet tall and is smothered in blooms in late summer/early fall.  It grows in full sun in soil that should not be allowed to get too dry.   Zones 3-8. Quarts.

This is one impressive Aster that won't go unnoticed in your garden.  It is is tall and stately (growing from four to six feet tall), but it is quite capable of standing on its own without staking.  Aster tataricus spreads to form colonies (a spread of two to four feet) that are easily divided, so give it some elbow room.  It is covered in one-inch lavender blooms from September to November that are especially appealing to Monarch butterflies.  I grew Aster tataricus many years ago, and I can assure you that it is long lived and long loved.  Full sun with well-drained soil in Zones 3-9.  (Photo by Kenpei, Wiki Commons, Licensed by CCA Share-Alike 3.0 Unported License.)