Some vaccines might be ready for production, but I still haven't seen any timelines on converting the vaccine into vaccinations. It is vaccinations which will change the border restrictions not a vaccine.
Things like getting 80% of the population vaccinated & a trusted way for travelers to prove they have been vaccinated are still to be worked out. Given that there are labs which will sell you a negative test instead of testing you, trust is going to be an important thing. Might be in the form of a test to show the antibodies from the vaccination response.
All that is a long way to say no one currently has a clue to when borders will reopen and we can be flying "normally" again. In reality I think it will be this time next year before we see timelines for opening the borders & flights being added to schedules.