No such offers are on the table anymore, not even to Switzerland, which has been told by the EU that there will never be any more negotiations unless they agree to replacing their current arrangements with a new one that's basically EU membership by another name. Additionally the Swiss also voted to impose immigration quotas years ago and the deadline for that referendum (a legally binding one) is February. The EU have told them to vote again. The Swiss Parliament is now desperately pretending that a law change that doesn't involve quotas is sufficient to satisfy a referendum that specifically asked the population about implementing quotas.
Even Switzerland is no longer able to get a Switzerland style agreement. The chances of the UK getting one are zero.
The UK has to accept that the EU is now an enemy of the country and is fully committed to the impoverishment and exclusion of the British people. There won't be any cooperation on anything with the EU ever again, and not because the UK doesn't want it but because the EU is held together by fear.
Switzerland is heading for what could be a potentially nasty constitutional crisis, if things go wrong. Parliament is legally bound to implement referendums because they work by adjusting the constitution. Swiss MPs are apparently more scared of the EU than they are of their own courts. This is not a sustainable situation for a democracy. Even if it doesn't blow up now, eventually it will. Switzerland will eventually go through its own "Swexit", due to a referendum that involves wishing to withdraw from one part of one agreement and the EU insisting that it withdraws from all of them simultaneously.
I'm sorry, what?
You sign a bilateral agreement bringing you massive wealth and advantages then you try to avoid doing your part of the deal
So EU is now evil because it will not take shit from a tiny country?
Whether this is consistent with the referendum result is arguable either way I think. The majority of pro-exit campaigners, and most likely of Leave voters, were against free movement, with regaining exclusive UK control over immigration being one of the foremost demands. So a soft Brexit that retains free movement could be seen as not following the spirit of the outcome, even if it follows the letter of it (by formally leaving the EU). On the other hand, the Leave majority was quite slim, and a subset of the Leave voters, probably at least 10%, in fact did think they were voting for a soft exit to more of a Switzerland-style status. So it is probably the case that while Brexit, when asked about in general terms, had 52% support, if you explicitly specify "hard Brexit" including exit from the common market, support would drop. But none of this was made precise in the referendum question, so what the referendum outcome gave a mandate for is what's now being debated.