All Skin Tones: True primary red - ie. The classic London Bus colour. Although some argue that true reds still work best on pale skins.
Cool Skin Tones (pink undertones): Pink tones of red, Berry Reds, Blackberry Reds, Brick Reds, Blue tones of Red, Plum tones.
Warm Skin Tones (yellow undertones): Orangey reds, Warm reds, Tomato reds, Brown based reds, Golden reds, Tawny reds.
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Finally, it's worth mentioning that blue toned reds will have a whitening effect on teeth.