Targeting asteroid 1999 JU3 and is expected to reach it in July 2018. It’s planned to return to Earth in December 2020.
The target for the Dawn probe was Vesta and Ceres. Dawn reached Vesta orbit July 16, 2011. It reached Ceres orbit March 6, 2015. It’s still in Ceres orbit.
Deep Impact / EPOXI
Primary mission was comet Tempel 1 (9P/Tempel). Deep Impact reached Tempel 1 on July 4, 2005. It released an impactor to study crater and debris. It was given a new mission, EPOXI, to study extra solar planets and comet Harley 2 (103P/Hartley). It flew by Hartley 2 November 25, 2010. EPOXI team loses contact with the probe in 2013. NASA declares the probe lost September 19, 2013.
Rosetta has on its way to its target, the comet 67P/Churumov-Gerasimenka (67P), performed a flyby of Mars and the asteroids 21 Lutetia and 2867 Šteins. On November 12 2014 the lander module Philae landed on comet 67P.
May 9, 2003 | JAXA | Hayabusa website | Wikipedia
Hayabusa set of to near-Earth asteroid 25143 Itokawa to collect material sample. The probe reached the asteroid in September 2005. It landed on the asteroid in November. Hayabusa also carried a mainlander called MINERVA. It failed to reach the surface. Hayabusa returned to Earth with it samples in June 2010. The probe was initially called MUSES-C.
Target: 433 Eros. The mission ended on February 12, 2001 by NEAR touching down on 433 Eros.