The photos below were sent to me by persons who thought the objects might be meteorites.
The only exceptions that I know
Northwest Africa 7325, a unique achondrite, has a greenish fusion crust.
In some well prepared pallasites, the olivine is greenish. In others, it is more brownish.
This photo of Almahata Sitta has distinctly green olivine crystals.
Moldavites, which are tektites, not meteorites, can also be green.