In Denmark, there's usually not a difference of animals depending on where you live (except for the smaller islands), so I will list what I've seen here in my birth town Viborg and my current town Skive:
Gardens: Red squirrel, hare, lots of different bats, common shrew, european hedgehog, eurasian sparrowhawk, common pheasant, oystercatcher, lapwing, common wood pigeon, collared dove, great spotted woodpecker, white wagtail, yellow wagtail, house wren, dunnock, european robin, song thrush, fieldfare, blackbird, garden warbler, blackcap, icterine warbler, willow warbler, wood warbler, goldcrest, great tit, coal tit, blue tit, nuthatch, european magpie, jay, jackdaw, rook, carrion crow, european starling, house sparrow, tree sparrow, chaffinch, european greenfinch, bullfinch, common frog
City parks (I've also seen some of the garden animals here): Great crested grebe, cormorant, grey heron, mute swan, mallard, tufted duck, common moorhen, coot, black-headed gull, herring gull, yellowhammer
In the streets (also seen some of garden and park animals here): Red fox, stoat, european polecat, domestic pigeon, common swift, sand martin, barn swallow, house martin
In the house: Beech marten, house mouse, yellow-necked mouse
Unseen (heard their calls): Cuckoo, tawny owl
And in the summertime tons of insects everywhere.
Gardens: Red squirrel, hare, lots of different bats, common shrew, european hedgehog, eurasian sparrowhawk, common pheasant, oystercatcher, lapwing, common wood pigeon, collared dove, great spotted woodpecker, white wagtail, yellow wagtail, house wren, dunnock, european robin, song thrush, fieldfare, blackbird, garden warbler, blackcap, icterine warbler, willow warbler, wood warbler, goldcrest, great tit, coal tit, blue tit, nuthatch, european magpie, jay, jackdaw, rook, carrion crow, european starling, house sparrow, tree sparrow, chaffinch, european greenfinch, bullfinch, common frog
City parks (I've also seen some of the garden animals here): Great crested grebe, cormorant, grey heron, mute swan, mallard, tufted duck, common moorhen, coot, black-headed gull, herring gull, yellowhammer
In the streets (also seen some of garden and park animals here): Red fox, stoat, european polecat, domestic pigeon, common swift, sand martin, barn swallow, house martin
In the house: Beech marten, house mouse, yellow-necked mouse
Unseen (heard their calls): Cuckoo, tawny owl
And in the summertime tons of insects everywhere.