Different studies at different times here:

social mobility studies (England and Wales) -  summarises and illustrates the classic  'Oxford or Nuffield Studies' in the 1980s and others

social mobility studies (England and Wales and more recent) - summarises the great debate between Saunders and his critics about whether the data show that Britain is now a meritocracy

social mobility (Hopper)--dated but horribly relevant functionalist study of mobility and anxiety

social mobility and women --classic debates about this topic (Goldthorpe, Stanworth, Payne, Abbott)

social immobility in Britain? -- debate about whether mobility has stopped or declined in Britain in the 2000s

social mobility and HE  -- in England and Wales. 2014 analysis of the 1970 cohort. Shows importance of private schools, especially in gaining elite degrees

social mobility and race -- lots of work here, including the Sewell Report (2021)

social mobility and cultural capital -- a recent study comparing a Russell Group and a non-Russell Group uni

social mobility and university expansion -- a 2025 careful statistical study comparing the influence of 'ability' and 'social disadvantage' on university success