I think it would be easier to answer what colors there aren't for hair dye.

[She chuckles a bit.]

Honestly there are tons of colors and shades. Of course not all of them are for everyone, it depends on the original hair color and other details, but if you want a small list... Blonde, black, brown, red, green, blue, purple, white, pink and orange would be the ones that come to the top of my mind at the moment. All with a dozen of shades.