If it's for a business in the UK, then co.uk wins.
If it's for an organisation in the UK, then .org or org.uk is stronger.
In the UK, both co.uk and org.uk are credible extensions. org.uk is particularly popular with charitable and non-profit organisations and organisations involved in the arts. For example, Oxfam, Mind and Tate all use org.uk as their primary domains.
A .org would be appropriate for an organisation based in the UK that targets people outside of the UK.