Wild pets come in poor, common, uncommon, and rare. I don't think there will be a "rare" list because no pets come only as rare, at least to my knowledge.

Start by paying attention to the elemental strengths and weaknesses. For example, that link Linaomine posted is a good idea. However, it was GREAT for leveling up my Nordrassil Wisp, Jade Oozeling, and Oily Slimeling. Magic is strong against Flying. They breezed through the Dragonbone Hatchlings. An...

I would say my Curious Wolvar Pup because he looks like such a thug which is why I named it Bronx Thug. I love the punch move. It just makes me laugh when I think about how gangsta it is when he goes to punch a pet. And, I did raise him to 25. BUT, those crabs are such a problem. I have a shore crab...

It's like what Phearia said. There really is no real difference if you raised it or caught it outside of the achievements. What I've been doing is just replacing pets, that can be replaced, as I go along. However, I favorite (star) the pets, that I know can only start at level 1. Those are the ones ...