A few more examples arse:
Ms Shah apologised for a string of comments on Twitter, including one suggesting Israel should be moved to the United States, although she was subsequently re-instated.
Mr Livingstone quit the party after a long-running row over claims Adolf Hitler had once supported Zionism while Mr Williamson was stripped of his membership for saying the problem of anti-Semitism had been over-stated and Labour had been "too apologetic" over the issue.
Mr Williamson's case is still ongoing - he was allowed back into the party several months later, but was suspended again two days later. pending further consideration of his future.
In February this year Labour released figures showing that the party received 673 accusations of anti-Semitism by Labour members between April 2018 and January 2019. However the scale of the issue remains disputed.
In April 2019, the Sunday Times reported that Labour had received 863 complaints against party members, including councillors.
The newspaper claimed leaked e-mails it had seen showed more than half of the cases remained unresolved while there had been no investigation in 28% of them.
It said fewer than 30 people had been expelled while members investigated for posting online comments such as "Heil Hitler" and "Jews are the problem" had not been suspended.
Mr Corbyn's opponents accuse him of being too close to Hamas, a militant Islamist group, and Hezbollah, a Lebanese paramilitary group. Both groups are widely viewed in the West as terrorist organisations.
He described representatives of Hamas as his "friends" after inviting them to a controversial meeting in Parliament in 2009.
Mr Corbyn faced criticism in August 2018 after a video emerged on the Daily Mail website of a 2013 clip in which he said a group of British Zionists had "no sense of English irony".
Former chief rabbi Lord Sacks branded the comments "the most offensive statement" by a politician since Enoch Powell's "Rivers of Blood" speech and accused the Labour leader of being an anti-Semite.
In August 2018, the Labour leader also came under fire over his presence at a ceremony in Tunisia in 2014 which is said to have honoured the perpetrators of the 1972 Munich massacre, during which 11 members of the Israeli Olympic team were taken hostage by Palestinian militants and killed.
The Israeli prime minister Benjamin Netanyahu said Mr Corbyn deserved "unequivocal condemnation" for laying a wreath on the grave of one of those behind the atrocity.
Earlier in August 2018, Jeremy Corbyn apologised over an event he hosted as a backbench MP in 2010 where a Holocaust survivor compared Israel to Nazism.
In March 2018, Mr Corbyn was criticised for sending an apparently supportive message to the creator of an allegedly anti-Semitic mural in 2012.
In February 2019, nine MPs quit Labour, many of them citing the leadership's handling of anti-Semitism as their reason for leaving.
Ms Berger, who had a police escort at the 2018 Labour Party conference, said she had come to the "sickening conclusion" that the party had become institutionally anti-Semitic and that she was "embarrassed and ashamed" to stay.
In March 2018, the head of the Labour Party's disputes panel quit after it emerged she had opposed the suspension of a council candidate accused of Holocaust denial.
Christine Shawcroft said she had not not been aware of the "abhorrent" Facebook post that had led to his suspension
In July 2018, the UK's three main Jewish newspapers published the same front page, warning that a government led by Mr Corbyn would pose an "existential threat to Jewish life".
That small sample above is pretty damming I would say, for a possible future Prime Minister of this country.