The participating universities in the GREAT Scholarships UK program may vary from year to year, and the specific universities offering scholarships may depend on the funding available and the focus of the scholarship scheme. However, here are some examples of UK universities that have participated in the GREAT Scholarships UK program in the past:

1. University of Birmingham: The University of Birmingham is a leading research-intensive institution offering a wide range of postgraduate programs in various disciplines.
2. University of Bristol: The University of Bristol is known for its excellence in teaching and research across a diverse range of subjects, including science, engineering, arts, and social sciences.
3. University of Dundee: The University of Dundee is renowned for its strong emphasis on interdisciplinary research and innovation, with a focus on fields such as life sciences, engineering, and social sciences.
4. University of East Anglia (UEA): UEA is a leading institution in environmental sciences, creative writing, and international development, offering a range of postgraduate programs in these and other disciplines.
5. University of Exeter: The University of Exeter is known for its world-class research and teaching in areas such as business, law, engineering, and environmental sciences.
6. University of Glasgow: The University of Glasgow is one of the oldest and most prestigious universities in the UK, offering a wide range of postgraduate programs in various disciplines.
7. University of Kent: The University of Kent is renowned for its excellence in teaching and research, with strengths in areas such as humanities, social sciences, and sciences.
8. University of Leeds: The University of Leeds is a research-intensive institution offering a diverse range of postgraduate programs across disciplines such as engineering, business, and social sciences.
9. University of Southampton: The University of Southampton is a leading research university known for its strengths in engineering, sciences, health sciences, and social sciences.
10. University of Sussex: The University of Sussex is known for its interdisciplinary approach to teaching and research, with strengths in areas such as social sciences, arts, humanities, and sciences.

These are just a few examples of UK universities that have participated in the GREAT Scholarships UK program. Prospective applicants should consult the British Council website or contact individual universities for the most up-to-date information on participating institutions and available scholarship opportunities.