Vegan and cruelty-free nail polish remover

Best place to check is
http://www.choosecrueltyfree.org.au/

PS - welcome!  

I was going to suggest Australis's See Ya Later nail polish remover because it's available at Priceline, it's cruelty-free but not vegan.

Kester Black's remover is cruelty-free and vegan but it's not available at Priceline...

What ingredients does it have that are not vegan? What ingredients does it or any other nail polish remover have that are not vegan? Acetylated lanolin alcohol? That is a non-vegan ingredient that I am aware of. Are there any other ingredients to avoid? if a brand does not test on animals would it be fair to say that the nail polish remover would also be?

Yes - cruelty free approved but not necessarily vegan.

Caprylic is in Cutex Nail Polish Remover Acetone Free for example -
https://en.wikipedia.org/wiki/Caprylic_acid
"Caprylic acid is the common name for the eight-carbon saturated fatty acid known by the systematic name octanoic acid. Its compounds are found naturally in the milk of various mammals, and as a minor constituent of coconut oil and palm kernel oil. It is an oily liquid that is minimally soluble in water with a slightly unpleasant rancid-like smell and taste.

http://www.thesourcenatural.com/ns/DisplayMonograph.asp?StoreID=DHAP6V4FB7SR2NM700AKHLBD3CMFBXMD&DocID=bottomline-caprylicacid
... an eight-carbon fatty acid naturally found in palm and coconut oil, and in the milk of humans and bovines (cows).

Vegan cosmetics at http://www.choosecrueltyfree.org.au/cruelty-free-list-vegan/

Designer Brands stocked at some chemists and l think price attack.
Kester black but it's pricey