Some asteroids on the "hot list:"

Icarus; Geographos; Cerberus; Aten; Bacchus; Ra-Shalom; Tantalus; Phaeton; Orpheus; Amun; Cruithne; etc.

Icarus and Cruithne would both make interesting targets.

Arkansas Researchers Looking For A Few Good Asteroids by Melissa Blouin gives the details on this follow-up to Shoemaker NEAR and Deep Space 1.

...With improved technology, we are swamped with the discovery of near-Earth asteroids," said Derek Sears, director of the Arkansas-Oklahoma Center for Space and Planetary Sciences. "What we need now is some ground-based data to help select possible asteroids for this mission."

The mission, dubbed Hera after the mother of the Three Graces, would send a spacecraft to three near-Earth asteroids, collect material from them and return it to Earth for research purposes. The researchers plan to propose the mission to NASA within the next 12 months....