Actress Joanna Lumley was the first to pledge to help elderly friends and neighbours through the winter by signing up to an NHS scheme.
Lumley said she was "proud" to become a "Winter Friend" and urged others to join the scheme.
She said: "A little help really does go a long way. You will also find, I'm sure, that giving a bit of your time in this way is hugely rewarding.
"Older people can be physically frail but they have a lifetime's wisdom and experience to share."
Former Olympic champion Sally Gunnell, actor Sir Tony Robinson and rapper Plan B are also backing the initiative, an NHS England spokesman said.
More top news
Bodies are being buried in backyards and overwhelming morgues as officials try to find another plot of land to lay them to rest.
Authorities have warned that the death toll is likely to rise as much of the building is yet to be searched.
The PM will sound out the possibility of new free trade agreements with Gulf states for once the UK has left the EU.