I have a couple of yard lists. One for my mother's yard in backcountry San Diego, which gets a lot of good birds and which I've been adding to during my visits for 15+ years. Another for my (now ex) address in Buenos Aires. Also, I find the requirement that the birds perched pretty artificial. If that were the case I would have 4 species on my Buenos Aires list, genuinely. Anyways, birds that have been noticed just once:
San Diego:
Mountain Chickadee
Say's Phoebe (regular a few hundred meters away)
Band-tailed Pigeon
Belted Kingfisher
Caspian Tern
Yellow-breasted Chat
Western Wood-Pewee
the best birds (in my opinion) have appeared various times: Scott's Oriole (local vagrant, recorded twice), Common Poorwill (breeds), Greater Roadrunner (resident). All of the "once only" birds are certainly annual but I'm only there an average of once a year and only record what I see while I stand out on the deck in the morning with tea, or what I kick up while helping in the garden, or whatnot.
Buenos Aires:
Ferruginous Pygmy-Owl
Checkered Woodpecker
Our (now for sale) flat was on a nice quite avenue with a green park strip down the middle, and near a larger park. But still, diversity in the actual city is low. In 4 years I saw 39 species from the flat, though I didn't spend any time watching the sky to try to pick up the rarer raptors or swallows or flyover waterfowl, storks, gulls etc.