You'd be surprised what you'll find visiting even the most urban gardens if you put feeders out.
As long as there is some kind of greenery/cover/habitat nearby word gets out quickly amongst them that there's a new source of food.
You get a greater variety in Britain than in Ireland. I'm in Dublin but have been surprised by the long list I've seen in the garden over the past ten years.
Resident Robin, all year around.
Sparrows
Dunnocks
Thrush
Mistle Thrush
Gold Finch
Green Finch
Siskin
Coal Tit
Blue Tit
Great Tit
Wren (hard to catch sight of, but they are actually one of the most numerously populated)
Sparrow Hawk (Caught a sparrow through the trees and landed on the lawn with it.)
Collared Dove
We had a rare pair of wagtails a few years ago. Can't remember exactly what they were but they were migratory.
I looked them up and the book said they may stop in one area to refuel before heading of to Africa or somewhere.
Sure enough they were gone after about a week or so.
Not particularly welcome but also;
Starlings
Magpies
Wood Pigeons