Skills minister Matthew Hancock said the technical baccalaureate would be a "mark of achievement".
There are also equivalents for Scottish Highers, the International Baccalaureate, BTECs and Cambridge pre-Us.
This could see an "Advanced Baccalaureate" following on from the English Baccalaureate for 16 year olds.
GCSEs will run alongside a revised and "more rigorous" Welsh Baccalaureate, Welsh ministers have said.
The English Baccalaureate (EBacc) subjects will not change, however, despite calls for more breadth.
The new system, called the Welsh baccalaureate, is about to be piloted in 19 schools.
Community colleges can also serve as a gateway from a high-school diploma to a baccalaureate degree.
He also cited the Welsh baccalaureate trials and the innovative non-profit ownership of Dwr Cymru as examples of successes.
The Department for Education (DfE) said the English Baccalaureate "does not stop any school offering RE GCSEs".
The qualification would be called the Modern Baccalaureate for Suffolk and it would be assessed without examinations.
BBC: 'Suffolk Baccalaureate' proposed by education authority
Schools in Suffolk are being asked to work with local businesses to introduce a 'Suffolk Baccalaureate' qualification.
BBC: 'Suffolk Baccalaureate' proposed by education authority
However, Mr Gove stopped short of introducing a new qualification for 16-year-olds called the English Baccalaureate Certificate (EBCs).
GCSEs are being overhauled in England and from 2015 some are being replaced with new English Baccalaureate Certificates.
The introduction of computer science prompted arts campaigners to call for a further widening of the English Baccalaureate.
More public schools, such as Montgomery County magnet school Richard Montgomery High, have started offering International Baccalaureate Diploma programs.
Johnson gave a baccalaureate sermon on Saturday as part of Morehouse's graduation weekend.
But Mr Burnham also warned that the government was sending a "damaging message" to schools with its English Baccalaureate.
Over the same period an 18-percentage point gap opened up between pass rates in A-levels and the International Baccalaureate.
It also raised concerns about introducing English Baccalaureate certificates in English, maths and science while still running "discredited" GCSEs for other subjects.
Like all the students there, the prince sat the International Baccalaureate, which involves a mix of academic and vocational work.
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The group would like the qualification to be one of the government's new English Baccalaureate Certificates which will replace GCSEs.
In a letter to the Daily Telegraph they called for RE to be included in the new English Baccalaureate.
Education Secretary Michael Gove has scrapped his proposals to replace some GCSE exams with a new English Baccalaureate Certificate (EBC).
BBC: GCSE reform: Reaction to English Baccalaureate scrapping
It would also mean the A-level system adopting features of the International Baccalaureate preferred by a number of independent schools.
Instead, Mr Burnham wants to see a "Modern Baccalaureate" as an alternative to what he describes as "Gove's narrow backward-looking vision".
The English Baccalaureate (EBacc) requires pupils to get good GCSE grades in English, maths, sciences, history or geography and a language.
The International Baccalaureate program is not a high school Advanced Placement (AP).
The proposals reported in The Times newspaper suggest that the current overhaul of A-levels could see the creation of an Advanced Baccalaureate.
The review would also consider the role of GCSEs, and whether or not they should move towards grading the Welsh Baccalaureate Qualification.
The planned changes in qualifications in England will see some of these core subjects becoming English Baccalaureate Certificates, replacing the current GCSEs.
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