Could it be a Cotoneaster .... one of the tall ones ?
The leaves look very similar and it does have loads of red berries.

I agree Louise cotoneaster, I find that the birds 'plant' them in my garden

If its quite tall, it'll be Cotoneaster franchetii 'Cornubia' - that's what it looks like from the leaves and berries here anyway

definately looks like a cotoneaster thought it was a 'cornubia' but i have found another one called 'lacteus' which fits better.
pretty which ever one.

For ID purposes, Gardener 08, 'Cornubia' has leaves about 4 inches long; 'lacteus' leaves are 2 inches long.

Banboo and Plantmaiden, seem to be on the right track as regards name of the shrub, but what is puzzeling me is the fact that it is only just coming to the end of berries. The two that are mentioned are said to be autumn fruits ???? Look forward to your further comments....

That's true, but what's really interesting is that your plant is still green - with the harsh winter we've just had, I'd have expected some loss of leaf, given that the larger leaved cotoneasters are semi evergreen, meaning they lose leaves in very cold winters. The berries on these often persist right through till spring, so I'm not surprised by that.