I'm not a vegan myself (I'm a vegetarian, and I don't eat a lot of dairy, but still very far from being a vegan), but here's some info for you vegans out there regarding beauty products.
I realise that many vegans try to avoid animal ingredients not only in their food, but also in their lifestyle, and when it comes to beauty products, this means staying away from ingredients like beeswax, honey, propolis, lanolin, carmine, goat's milk, non-vegetable source stearic acid, and emu oil. As a vegetarian, I won't use any beauty products that have been tested on animals, and I avoid carmine, because it comes from crushed beetles, but I'm ok with ingredients like honey. But many vegans will want to avoid any ingredients that come from an animal.
Good news! There's plenty of options out there. A'kin, Sukin, and Natural Instinct products are all free from animal ingredients, and, like all brands I endorse on this blog, do not test on animals. Some of Trilogy and Evolu's products are vegan, but I think all of Living Nature's products contain honey. A lot of Lush's products are vegan.
Vegan makeup can be a bit trickier to find, but mineral powder makeup generally tends to be free from animal ingredients. I've posted info about mineral makeup here and here.
Living Nature's awesome eyeliners are free from any animal ingredients, using vegetable waxes instead of beeswax.
The only natural vegan lipsticks and lipglosses available in New Zealand that I've come across so far are made by Immersion Cosmetics. The lipsticks come in eight shades, and are $39.38 each. The lipglosses (called Lip Glazes) come in seven shades and are $37.13 each. They can be bought online at http://www.immersioncosmetics.co.nz/, and the website also has a list of stores which stocks them. They have quite a range of makeup, all vegan, except for their Lip and Eye Pencils, and their Lip Gloss Pots. Their mascara and concealer and the only natural vegan ones available in NZ that I know of.
As a cheaper alternative for a lip colour, you could mix mineral blusher, eyeshadow or bronzer with a vegan lip balm (like A'kin Sweet Blossom and Jojoba Pure Essential Lip Balm) to make your own lip tint. I haven't tried this myself, so I'm not sure how well it would work.
So yeah, quite a lot of options for vegans - to find appropriate products it's often simply a matter of reading ingredient lists - which, as a vegan, you'll be used to doing anyway.