I've only seen one mockingbird while living where I am now. I've heard they'll even imitate car alarms.
In the past two years I've become an avid birdwatcher and even scratch down descriptions and observations in my writing journal (which is a catch-all from book quotes to sketches to random thoughts). I particularly like the white-throated song sparrow but haven't seen one up close. In my yard I've seen: brown thrashers, cardinals, eastern bluebirds, black-capped chickadees, robins, jays, woodpeckers, hummingbirds, brown-headed cowbirds, mourning doves, brown sparrows, wrens, crows, hawks, barred owls, and larks.
I haven't seen any finches, though, even with feeders.