My two go-to vegan lip balms:
Peppermint Merry Hempsters, which my local store stopped carrying, so I order it from a merchant on Amazon. Right now, its $1.63 per tube plus $1.99 shipping = $3.62 per tube. Not bad compared to other vegan balms I've seen for sale. (This is a merchant, so the shipping s standard regardless how how many items you purchase. This was the only item in my cart)
Palmer's Cocoa Butter Formula - Lip Butter (dark chocolate and peppermint) is vegan. Palmer's is not a vegan company, and they do sell products with animal ingredients. But, this lip butter contains no animal ingredients, and the FAQ page on their website says "Palmer's is a "cruelty-free" company and does NOT conduct product tests on animals."
Give thanks to Mother Earth for Her greatest gift...
For without it, we would be lost.