In the highland garden (where I spend most of my time): Sparkling Violetear and Spangled Trainbearer hummingbirds, with the occasional Hillstar making an appearance; Crested Andean (Rufous-collared) sparrows, Giant Thrushes, Giant Andean Wrens, three or four types of finches, Scarlet Flycatchers, a couple of types of Grosbeak, and Ecuadorean Ground Doves, with occasional flybys by Peregrine Falcons, Black Vultures, and once, a Condor. In smaller critters, I get the occasional rat, which my cat chases off.
In insect life, I've got stingless honeybees, solitary highland carpenter bees, ladybugs, and a couple of different kinds of giant scarab beetles. Not much for flutterbies at this altitude - the occasional Monarch or Admiral is about it.
In the amazon garden (where I spend less time), the bird-list runs to the hundreds of species, the coolest of which (IMHO) are the Blue-capped Tanagers, Paradise Tanagers, Yellow-rumped Caciques (not for their looks, but for their song), Kiskadees (pictured), Yellow and Grey-capped flycatchers, and Puffleg hummies, with occasional visits from sulfur woodpeckers. Of course, the crested sparrows, vultures (here called "the mayor's chickens") and ground doves are everywhere. Occasionally, there are noisy flocks of green parrotlets, and twice now I've been divebombed by Quetzals. I know I'm missing species on this list, particularly hummies - I keep track in a logbook when I'm in the amazon, and my best week saw almost 300 species.
Bugs in the amazon garden are also way cooler and more numerous. I've got tons of butterflies, the neatest of which are probably the Morphos, but I've also got glasswings, Fritillaries, Monarchs, Viceroys, Admirals, and tons more that I haven't ID'd yet. I get giant leaf-katydids, really big grasshoppers, giant solitary bees, metallic green bees (one of my personal faves), Dobsonflies (scary!), and a whole variety of ants, ranging from Argentines (tiny) to Leafcutters (annoying) to Army Ants on occasion (goodbye, garden.) Also, although it's kind of gross to admit it, there are giant tropical cockroaches. It's made up for by the equal presence of tarantulas - I cultivate my spiders. And of course, wasps of varying sizes and dispositions, and attractive pollinator beetles. And centipedes, really big ones. The bug list runs into the thousands.
I also see quite a few treefrogs and ditch frogs/toads, and I let skinks in the house when I find 'em (they eat ants and roaches).
In the four-legged and furry department, I have Huanchaka (possum), rats, tiny Brocket Deer (goodbye, hibiscus), the occasional Guanta (Agouti), and on several memorable occasions, I've been visited by troops of squirrel monkeys (goodbye, all my fruit.) Until I figured it out to sacrifice a bunch of bananas to them, they stripped my garden bare.