Open Access publications funded by UKRI should be published with a Creative Commons Attribution (CC BY) licence (or sometimes, by application, another permitted licence which doesn't allow content to be changed, if necessary: CC BY-ND). Copyrighted material can still be used in publications, but it must be clear from the citation that it is not covered by the Creative Commons licence that applies to the rest of the article.
The aim of the Rights Retention Strategy (RRS) is to ensure researchers have greater control over the rights to their work, and maximise the re-use of their accepted manuscripts. Initially implemented by cOAlition S, an international consortium of research funders dedicated to open access for research outputs, it is part of Plan S, put in place to improve the rate of transition towards open access. RRS is a requirement of many funders, including UKRI and the Wellcome Trust.
Plan S and the Rights Retention Strategy is covered in more detail on the Understanding Open Access guide.
Sometimes publishers may agree to amend the contract in certain ways if you ask them.
Data is most commonly associated with figures in a spreadsheet. However, data arising from research can be almost anything: measurements, lab notebooks, computer code, observations, recordings and transcripts of interviews, photographs and more.
Datasets should be as openly available as possible, but other factors need to be considered, such as copyright, data protection, commercialisation.
Copyright applies to all of these types of data - and it is probably not you who owns it.
There are exceptions:
Databases are not subject to copyright (although their content may be). There is another piece of law called 'database right', which recognises any substantial intellectual effort you have put into creating the database and obtaining its contents, which stops others using it, or copying it without permission. City will own this right but licence it to the researcher.
If an article is accepted for publication, the copyright should, if possible, be retained by the author(s) (this is a requirement for some funders). Even if it is, the copyright of any associated dataset should not be assigned to the publisher. The licence that City grants does not permit this.
City uses Figshare as a data repository; see Digital research data and Figshare. Alternatively, depending on discipline, there are other repositories where it may be appropriate to deposit your data. There are lists of repositories, for example the Registry of Research Data Repositories or Nature's Scientific Data.
There are a number of different licensing options to allow others to re-use the data.