Coloured/Flavoured: No one can beat cherry Chapstick. No one. That is all.
Minty: This is a tough one since I use both as my regular lip balms. Even though the mint Chapstick is hard to find, I'm gonna give it the win because the actual balm is green which is cute :)
Medicated: This is simple: Chapstick is weak in this category. It's as if they replaced the mint label with one that says "medicated". One whiff of Blistex medicated and you know you've got the good stuff.
VERDICT: They're tied 2-2 and I think a tie-breaker post is in order...