So as not to split hairs and get into what defines an animnal, there are 6 main classes of animals in this world: mammals, birds, fishes, reptiles, amphibians,and invertebrates...so, this be what I'm talkin' about.
in no particular order I'd go with the following:
Ants -highly structured, awesome creatures
Bees/Wasps -Same reason
Spiders- I LOVE spiders. Fascinating creatures.
Assassin Bugs- Highly evolved (intelligent? Can you really measure insect intelligence?) assassins; these guys are bad assed!
Dogs- I dont like every breed, but canids overall are awesome. Especially wolves.
Bats- Again, not too species specific here, just think they are awesome. (Very important for us too).
Frogs- Awesome "indicator" animals. The whole tadpole to frog change is bad ass.
Birds- The last true connection to dinosaurs. My favorites are owls, and most other raptors, and Ravens and Crows. Both ravens and crows are some of the most intelligent creatures on the planet and we're only now beginning to learn just how smart they actually might be. Some research has shown they are PROBABLY as smart as a 3-5 year old human child, and other research IS showing they may be even smarter than that. I know birds are actually an entire class of animal, but I love birds. I'm an avid birder, and have 391 birds presently on my life list. Yes, TempusVox has a life list. Sue me.
Duckbill Platypus- These guys don't know what he hell they really want to be. Awesome creatures to me. Proof that nature can come up with some crazy stuff.
Bears- Bears rock. Especially JP.