To be a member of the EEA you need to be in the EU or the European Free Trade Association (EFTA), which we left in 1973.
Joining EFTA would need a treaty and potentially some extensive negotiation at a time we would also have to put bilaterials and treaties in place for a vast range of other matters (like any flight by a UK airline between two EU locations).
EFTA states adopt almost all the relevant EU legislation other than laws regarding agriculture and fisheries. BREXIT pretty much makes the UK ineligible to be an EFTA member too!
So you can expect what you want just expect to be dsappointed.