Sector or subject area What Mrs May said in her 2 March 2018 Mansion House speech
All "Even after we have left the jurisdiction of the ECJ, EU law and the decisions of the ECJ will continue to affect us…   …when we leave the EU, the Withdrawal Bill will bring EU law into UK law. That means cases will be determined in our courts. But, where appropriate, our courts will continue to look at the ECJ’s judgments, as they do for the appropriate jurisprudence of other countries’ courts.   And if, as part of our future partnership, Parliament passes an identical law to an EU law, it may make sense for our courts to look at the appropriate ECJ judgments so that we both interpret those laws consistently."
All: regulatory agencies "If we agree that the UK should continue to participate in an EU agency the UK would have to respect the remit of the ECJ in that regard…   …we will also want to explore with the EU, the terms on which the UK could remain part of EU agencies such as those that are critical for the chemicals, medicines and aerospace industries: the European Medicines Agency, the European Chemicals Agency, and the European Aviation Safety Agency.   We would, of course, accept that this would mean abiding by the rules of those agencies and making an appropriate financial contribution.   I want to explain what I believe the benefits of this approach could be, both for us and the EU.   First, associate membership of these agencies is the only way to meet our objective of ensuring that these products only need to undergo one series of approvals, in one country.   Second, these agencies have a critical role in setting and enforcing relevant rules. And if we were able to negotiate associate membership we would be able to ensure that we could continue to provide our technical expertise. Third, associate membership could permit UK firms to resolve certain challenges related to the agencies through UK courts rather than the ECJ."
State aid and competition "We may choose to commit some areas of our regulations like state aid and competition to remaining in step with the EU’s.  The UK drove much of the policy in this area and we have much to gain from maintaining proper disciplines on the use of subsidies and on anti-competitive practices."
Data protection "We will be seeking more than just an adequacy arrangement and want to see an appropriate ongoing role for the UK’s Information Commissioner’s Office. This will ensure UK businesses are effectively represented under the EU’s new ‘one stop shop’ mechanism for resolving data protection disputes."
Product regulation (goods) "We must ensure that, as now, products only need to undergo one series of approvals, in one country, to show that they meet the required regulatory standards.   To achieve this we will need a comprehensive system of mutual recognition.   The UK will need to make a strong commitment that its regulatory standards will remain as high as the EU’s. That commitment, in practice, will mean that UK and EU regulatory standards will remain substantially similar in the future…   …As I said in my speech in Florence this could be achieved in different ways.   Our default is that UK law may not necessarily be identical to EU law, but it should achieve the same outcomes. In some cases Parliament might choose to pass an identical law – businesses who export to the EU tell us that it is strongly in their interest to have a single set of regulatory standards that mean they can sell into the UK and EU markets.   If the Parliament of the day decided not to achieve the same outcomes as EU law, it would be in the knowledge that there may be consequences for our market access."
Services (generally) "We want to limit the number of barriers that could prevent UK firms from setting up in the EU and vice versa, and agree an appropriate labour mobility framework that enables UK businesses and self-employed professionals to travel to the EU to provide services to clients in person and that allows UK businesses to provide services to the EU over the phone or the internet. And we want to do the same for EU firms providing services to the UK.   And given that UK qualifications are already recognised across the EU and vice versa – it would make sense to continue to recognise each other’s qualifications in the future."
Broadcasting "We recognise that we cannot have exactly the same arrangements with the EU as we do now. Currently, because of the “country of origin” principle, a company based in the UK can be licenced by Ofcom and broadcast into any EU member state and vice versa. The relevant directive will not apply to the UK, as we leave the EU, and relying solely on precedents will hurt consumers and businesses on both sides.   The UK’s creative hub leads to the development of products that European consumers want - the UK currently provides around 30% of the channels available in the EU. But equally, many UK companies have pan-European ownership, and there are 35 channels and on-demand services, which are offered in the UK but licensed in the EU.   So we should explore creative options with an open mind, including mutual recognition which would allow for continued transfrontier broadcasting."
Financial services "The Chancellor will be setting out next week how financial services can and should be part of a deep and comprehensive partnership. We are not looking for passporting because we understand this is intrinsic to the single market of which we would no longer be a member. It would also require us to be subject to a single rule book, over which we would have no say.   …our goal should be to establish the ability to access each others’ markets, based on the UK and EU maintaining the same regulatory outcomes over time, with a mechanism for determining proportionate consequences where they are not maintained. But given the highly regulated nature of financial services, and our shared desire to manage financial stability risks, we would need a collaborative, objective framework that is reciprocal, mutually agreed, and permanent and therefore reliable for businesses."
Energy "We will want to secure broad energy co-operation with the EU. This includes protecting the single electricity market across Ireland and Northern Ireland - and exploring options for the UK’s continued participation in the EU’s internal energy market. We also believe it is of benefit to both sides for the UK to have a close association with Euratom."
Transport "We will want to ensure the continuity of air, maritime and rail services; and we will want to protect the rights of road hauliers to access the EU market and vice versa."
Digital "The UK will not be part of the EU’s Digital Single Market, which will continue to develop after our withdrawal from the EU. This is a fast evolving, innovative sector, in which the UK is a world leader. So it will be particularly important to have domestic flexibility, to ensure the regulatory environment can always respond nimbly and ambitiously to new developments."
Litigation, corporate and IP "Civil judicial cooperation, where the EU has already shown that it can reach agreement with non-member states, such as through the Lugano Convention, although we would want a broader agreement that reflects our unique starting point. And our agreement will also need to cover company law and intellectual property, to provide further legal certainty and coherence."