One possibility is the Aragoscope from the University of Colorado Boulder, which uses a gigantic orbital disk instead of a mirror to produce images 1,000 times sharper than the Hubble's best efforts.

The Aragoscope is named after French scientist Francois Arago who first noticed how a disk diffracted light waves. The principle is based on using a large disk as a diffraction lens, which bends light from distant objects around the edge of the disk and focuses it like a conventional refraction lens. The phenomenon isn't very pronounced on the small scale, but if the telescope is extremely large, it not only becomes practical, but also extremely powerful.

When deployed the Aragoscope will consist of an opaque disk a half mile in diameter parked in geostationary orbit behind which is an orbiting telescope keeping station some tens to hundreds of miles behind that collects the light at the focal point and rectifies it into a high-resolution image.