Never events are defined by the CQC as serious, largely preventable incidents which should not happen.
The CQC carried out its routine inspection in March, speaking to staff and patients.
The service claimed it had already identified the areas where the CQC sought action.
The CQC said its prime concern was compliance with a national set of 28 criteria.
BBC: Abuse and neglect complaints increase in Essex care homes
Inspectors from the Care Quality Commission (CQC) visited the hospital in Greater Manchester in March.
The Care Quality Commission (CQC) visited Gloucestershire Royal Hospital for a routine inspection in February.
Critics maintain that the CQC scores the wrong things and relies too much on self-reporting.
The hospital described its recent CQC report as "glowing", claiming it provides "high quality care".
Both NHS hospital trusts said they have increased staffing levels since the CQC inspections.
BBC: Lincolnshire NHS trusts: Action taken on staffing levels
And during one in 16 visits by the CQC, hospitals had more patients than beds.
"But that would be the extreme nuclear option for any regulator, " said CQC head Cynthia Bower.
Previous CQC reports in May and November 2011 found failings in standards in some areas.
The CQC warns people not to rely on ratings from outside companies when choosing a home.
"We do not endorse any external ratings systems, " CQC operations director Amanda Sherlock told the BBC.
The trust was ordered to improve by the Care Quality Commission (CQC) after its response times deteriorated.
Mr Williams also praised the "overall positive" nature of the CQC's report, following the inspection in December.
BBC: Hygiene alert at ambulance station run by Wiltshire trust
Two care homes in Cornwall have been criticised in a report by the Care Quality Commission (CQC).
University Hospitals of Morecambe Bay NHS Foundation Trust has faced critical reports from the CQC and Monitor.
The Royal Cornwall Hospitals Trust said staffing levels have been rated as "compliant" in subsequent CQC visits.
The CQC said "action was needed" to improve the care and welfare of patients who used Cumberland Infirmary.
The Care Quality Commission (CQC) raised concerns over staff numbers and training two months before his death.
The CQC told the BBC that "where people are at immediate risk we can use our urgent powers".
BBC: Abuse and neglect complaints increase in Essex care homes
Earlier this week MPs met members of the Care Quality Commission (CQC) over concerns about EEAS response times.
The Care Quality Commission (CQC) aired concerns over Avon and Wiltshire Mental Health NHS Trust in the summer.
The CQC issued a warning about staffing after inspections at Stamford in August and Boston in December 2011.
BBC: Lincolnshire NHS trusts: Action taken on staffing levels
The CQC spokeswoman said it welcomed "any action being taken by the trust to move towards full compliance".
The CQC also urged councils to do more to drive up standards in the voluntary and private sector.
The Care Quality Commission (CQC) said the hospital was fully compliant in the areas they inspected in July.
But a new report from an unannounced inspection team carried out by the CQC found evidence of sub-standard care.
Hull and East Yorkshire Hospitals NHS Trust has been told by the CQC that it needs to take action.
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