Achondrites lack chondrules, originate on differentiated planetary bodies (ie planetary bodies with a distinct core and crust), such as asteroids, planets, or moons, and were reformed from molten fragments that were flung into space as the result of another collision.
Achondrites were all produced by melting of their parent bodies. Although most achondrites are fragments of asteroids, a few come from the Moon or Mars. (Click on the Lunar Meteorites page for a few examples in my collection).
The achondrites include angrites, aubrites, diogenites, eucrites, howardites, lunar meteorites, martian meteorites, primitive achondrites (such as acapulcoites, brachinites, lodranites, and winonaites), and ureilites.
Click on an image to enlarge and see additional information about the meteorite.