* The specific diploma: The awarding body's reputation and the level of the diploma (e.g., a BTEC National Diploma is often viewed differently than a shorter, less rigorous qualification). Accredited means it's been approved by a recognised body like Ofqual in England, SQA in Scotland, or equivalent bodies in Wales and Northern Ireland. But the *level* of accreditation matters greatly.
* The university/college: Each institution has its own entry requirements. Some may readily accept accredited diplomas as part of the entry criteria, especially if they're relevant to the chosen degree course. Others may be more selective and require additional qualifications or experience.
* The course applied for: A diploma in a relevant field might be accepted for a related undergraduate course, while a diploma in an unrelated field may not be sufficient. For example, a BTEC National Diploma in Engineering might be accepted for an engineering degree, but a diploma in Art might not be sufficient for a medical degree.
* The student's overall application: Universities often consider the entire application package—grades on the diploma, references, personal statement, and any other relevant qualifications or experience.
In short, there's no single list of universities that "accept" all accredited diplomas. You need to check the entry requirements for *specific* courses at *specific* universities or colleges. The university's website will have this information, usually under the "entry requirements" or "applying" section for each course. You should contact the admissions department of the universities you are interested in to clarify if your specific diploma meets their requirements.