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I'll obviously not put the pets mentioned by PinkKitten in this reply. :P
A pet that can be gained year round and is in Saliko:
If you get a trophy (forgot which, but it states on getting lots of the achievements of Saliko), you may get Noxxara (the boss of Hollow Tree) as a pet, but a small and less epic version of it.
There pets that can be obtainable only during a certain event.
I'll just list the ones you can get in Saliko.
During Halloween, you may get a Green Forest Lizard from doing a short series of quests; they're short because it involves an item from a boss. The boss is level 36+ (don't exactly remember). You only have to get an item from it, so (if you ask nicely) high level people can kill it for you.
During Easter Event (coming very soon!!!), you may get two additional bunnies. One has an eggshell that is beautifully colored with dots; the one has a pink ribbon and a yellow ribbon.