The Observer leads with the pledge by the new Labour leader Sir Keir Starmer to work with Boris Johnson "in the national interest", in order to fight the coronavirus outbreak.
It says he's agreed to meet the prime minister this week to talk.
The Sunday Telegraph says the promise to work together with the government is a change of tone for Labour, and signals a break from what it calls the "overtly hostile" approach of Jeremy Corbyn's regime.
But the Sunday Times says that, in also setting out tough criticism of the government's actions, Sir Keir has thrown down the gauntlet to the prime minister.
It says the government deserves to be chastised for some of its missteps, and urges Mr Johnson to reach out, not only to the Labour leader, but also to Conservatives with more experience than the current Cabinet.
It says figures such as Jeremy Hunt and the former leaders Lord Hague and Theresa May all have something to offer a government that needs it.
The Sunday Express calls the Queen's broadcast tonight a "historic address" that will rally the nation in its desperate fight against the pandemic.
The Sun on Sunday uses the headline "Greatest Britons", saying her words will pay tribute to the country's strength.
According to the Sunday Telegraph, Downing Street hopes that the Queen's intervention can lift the nation's spirits, at a time when people are being urged to abide by tough rules limiting their movements.
The Mail on Sunday reports that two of the most senior government ministers leading the response to the pandemic are locked in battle about when to lift the current restrictions.
It says the Chancellor, Rishi Sunak, has made "robust" arguments to Health Secretary Matt Hancock that the country could suffer lasting damage unless there is a plan for a swift return to normal activity.
Mr Hancock's backers insist he is protecting the NHS.
The Observer says there is open debate in both Whitehall and the scientific community about the best route out of the lockdown measures.
The online Independent says the social care system is at risk of collapse within weeks due to pressure from the coronavirus.
It says care providers are complaining that some local councils are failing to release emergency funding they've been given, and says firms have been pushed to the brink of closure.
The website says concern is growing in Whitehall about the resilience of the system, but many in the sector say they have raised questions and had no response.
The Sunday People also warns of what it calls a "care home time bomb", saying a lack of kit, testing and staff is putting elderly residents at risk.
The Sunday Mirror says the Conservative government still doesn't know the value of Britain's true heroes.
Meanwhile, the Sun on Sunday reports that protection officers for Princess Anne and Princes Andrew and Edward no longer carry guns, but Tasers.
It says the move is part of a widespread review of security for junior royals, politicians and diplomats. One former protection officer calls it "nonsensical".