[6] In January 2015, the then-UK Home Secretary, Theresa May, praised CAA for its work and undertook to ensure that the law against antisemitism is "robustly enforced".

[18] That same month, the organisation launched a Change.org petition titled "Jeremy Corbyn is an antisemite and must go";[19] it featured a Labour slogan modified to read "For the many not the Jew", which was signed by over 30,000 by 30 August 2018.

[23] In May 2019, following complaints submitted by CAA, the EHRC launched a formal investigation into whether Labour had "unlawfully discriminated against, harassed or victimised people because they are Jewish".

Estimates from police indicate that between 50,000[29] and 100,000 people attended the march; it was claimed by the organisation to be "the largest gathering of its kind since the Battle of Cable Street".

[30] One month prior, CAA held a smaller demonstration outside the Scotland Yard Headquarters, to protest against what they deemed police inaction in the face of an uptick in antisemitic hate crimes.

[36][37][38] Whereas the CPS was sceptical that a crime had been committed, once the case reached a jury the defendant was found guilty and given a one-year custodial sentence.

In January 2022 she was found guilty on two counts of publishing written material in order to stir up racial hatred, and was sentenced to eleven months in prison.

[48] In July 2018, Gilad Atzmon was forced to apologise to CAA chairman Gideon Falter and pay costs and damages after being sued for libel.

In 2017, Greenstein had launched a petition asking the Charity Commission to deregister the organisation, claiming its purpose was to limit freedom of speech by calling opponents of Israel antisemitic.

[53] In 2022, the Charity Commission confirmed that it had opened an investigation into the National Union of Students' (NUS) charitable arm, following a letter calling on the regulator to do so from Robert Halfon, then the Chair of the Education Select Committee, and CAA.

"[57][58][59] In August 2019, CAA asked Goldsmiths, University of London, to cancel a booking made by the Communist Party of Great Britain because they objected to some of the speakers who they said "have a history of baiting Jews or outright antisemitism".

They added "it is important that the leadership do not conflate concerns about activity legitimately protesting Israel's actions with antisemitism, as we have seen has been the case on some occasions.

In the run up to the 2019 United Kingdom general election, CAA asked her to resign as a patron because she was standing as a Labour Party candidate; she did so but described their request as "both astonishing and wounding", showing a lack of respect and impugning her integrity.

[68] CAA had previously described a 2009 speech by Ali, who described Tony Blair, George W. Bush, and Ehud Olmert, as "warmongers",[69] as antisemitic and an "offensive rant".