A gunman with an apparent grudge against the US police shoots dead two officers in a patrol car in New York before killing himself, officials say.
North Korea proposes a joint inquiry with the US into a cyber-attack on Sony that led to the studio cancelling the release of the film The Interview.
Archbishop of Canterbury Justin Welby tells Desert Island Discs he is trying to bridge a split in the Church over same-sex marriage.
A second man is arrested on suspicion of murdering off-duty police officer Neil Doyle, who died after being attacked in Liverpool on Friday.
TV presenter Caroline Flack and partner Pasha Kovalev are voted winners of Strictly Come Dancing, beating singers Frankie Bridge and Simon Webbe.
Australian authorities charge a woman in the northern city of Cairns with the murder of seven of her children and her niece.
Four Afghan detainees at the US prison in Guantanamo Bay in Cuba have been sent back to their home country, the Pentagon says.
Ex-armed forces members who are sent to prison will get more support following a review of how they are treated, the Ministry of Justice says.
Cuban President Raul Castro hails a recent move to normalise relations with the US but stresses that Havana will not change its political system.
The diplomat and journalist John Freeman, best known for his interviews for BBC television series Face to Face, dies at the age of 99.
New Hartlepool manager Ronnie Moore announces he would like to sign convicted rapist Ched Evans.
A support group is set up in memory of Dr Naz Mahmood - an Asian doctor who took his own life days after telling his family he was gay.
A cyclist in China avoids serious injury after being knocked off his bike by a truck at a busy junction.
Mike Bushell joins a group of social runners in the woods.
Four cheetah cubs born at Prague zoo in November are doing well, according to keepers.
Cheerleading is usually seen as a young person's sport, but the Japan Senior Cheer Association is for women in their 60s and 70s.
Cathedral conservators film themselves scaling Britain's highest spire to repair weather meter.
With just four years until Crossrail is due to open, Transport Correspondent Richard Westcott was given access to the new tunnels beneath London to see how work was getting on.
Claims that NHS England may make target response times for ambulances longer, and news on a festive season blitz on drug-driving are two of a mixed bag of Sunday headlines.
Foreign investors are keen to do deals with Turkmenistan but a climate of fear silences dissent, writes the BBC's Abdujalil Abdurasulov in Ashgabat.
Martin Luther King had a dream of freedom. Can his biopic save Hollywood from censorship, asks the BBC's arts editor Will Gompertz
It is beginning to dawn on MPs and peers quite how difficult it is likely to be to govern after the next election.
As 2014 draws to a close, the BBC's Carrie Gracie looks back on China's year and asks if the country has achieved its "dream".
The US navy has developed a robot that looks like a fish, but has high-tech surveillance equipment inside.
The BBC explains the significance of Mount Sinjar in northern Iraq, where Kurdish Peshmerga forces say they have broken the hold of Islamic State.
With a report into World Cup corruption to - eventually - be released, president Sepp Blatter says Fifa's crisis is over. Is he right?
Could a period of relative stability in Chechnya be coming to an end, asks Dr Galina Yemelianova.
The most desirable place to live in the UK is named as Hart in Hampshire where residents are found to be the healthiest and live the longest.
Facebook users solve the mystery of a lost memory card in under an hour after an appeal is posted by a police force.
Manchester United manager Louis van Gaal says beating teams like Aston Villa is a necessity to win the Premier League.