The uni's that offer medicine are as follows (from the UCAS website):
The University of Aberdeen (A20) qualification
Medicine (A100) 5FT Hon MB
The University of Birmingham (B32) qualification
Medicine (5 yrs) (A100) 5FT Hon MBChB
Medicine (Graduate Entry) (4 yrs) (A101) 4FT Hon MBChB
Brighton and Sussex Medical School (B74) qualification
Medicine (A100) 5FT Hon BMBS
University of Bristol (B78) qualification
Medicine - First MB/ChB (pre-medical) entry (A104) 6FT Hon MB
Medicine - Second MB,ChB entry (5 years) (A106) 5FT Hon MB
Medicine Graduate entry (4 years) (A101) 4FT Hon MBChB
University of Cambridge (C05) qualification
Cambridge Graduate Course in Medicine (A101) 4FT Hon MB
Medicine (A100) 5FT/6FT Hon MB
University of Dundee (D65) qualification
Medicine (A100) 5FT Hon MB
Medicine (Pre-medical year) (A104) 6FT Hon MB
University of East Anglia (E14) qualification
Medicine (A100) 5FT Hon MBBS
The University of Edinburgh (E56) qualification
Medicine (5 years) (A100) 5FT Hon MBChB
Medicine (6 years) (A104) 6FT Hon MBChB
University of Glasgow (G28) qualification
Medicine (A100) 5FT Hon MB
Hull York Medical School (H75) qualification
Medicine (A100) 5FT Hon MBBS
Imperial College London (University of London) (I50) qualification
Medicine (A100) 6FT Hon MBBS/BSc
Keele University (K12) qualification
Medicine (A100) 5FT Hon MBChB
King's College London (University of London) (K60) qualification
Foundation Course in Natural Sciences/Medicine (A103) 6FT Hon MBBS
Graduate/Professional Entry Programme (Medicine) (A102) 4FT Hon MBBS
Medicine (5 years) (A100) 5FT Hon MBBS
University of Leeds (L23) qualification
Medicine (A100) 5FT Hon MBChB
University of Leicester (L34) qualification
Medicine (4 years) (A101) 4FT Hon MBChB
Medicine (5 years) (A100) 5FT Hon MBChB
The University of Liverpool (L41) qualification
Medicine (A100) 5FT Hon MBChB
Medicine (Graduate Entry) (A101) 4FT Hon MBChB
The University of Manchester (M20) qualification
Medicine (5 years) (A106) 5FT Hon MBChB
Medicine (6 years including preliminary year) (A104) 6FT Hon MBChB
University of Newcastle Upon Tyne (N21) qualification
Medicine (Accelerated Programme, Graduate Entry) (A101) 4FT Hon MBBS
Medicine (stage 1 entry) (A106) 5FT Hon MBBS
The University of Nottingham (N84) qualification
Medicine (A100) 5FT Hon BMBS
Medicine (Graduate Entry) (A101) 4FT Hon BMBS
Oxford University (O33) qualification
Medicine (A100) 6FT Hon BMBCh
Medicine (Fast-track, Graduate Entry only) (A101) 4FT Hon BMBCh4
Peninsula Medical School (P37) qualification
Medicine (A100) 5FT Hon BMBS
Queen Mary, University of London (Q50) qualification
Medicine (A100) 5FT Hon MBBS
Medicine (Graduate Entry) (A101) 4FT Hon MBBS
Queen's University Belfast (Q75) qualification
Medicine (A100) 5FT Hon MB
The University of Sheffield (S18) qualification
Medicine (Foundation Year) (A104) 6FT Hon MBChB
Medicine (Phase One) (A106) 5FT Hon MBChB
University of Southampton (S27) qualification
Medicine (5 year) (A100) 5FT Hon BM
Medicine - Graduate entry (4 year) (A101) 4FT Hon BM
University of St Andrews (S36) qualification
Medicine (BSc Honours) (A100) 3FT Hon BSc
St George's Hospital Medical School (University of London) (S49) qualification
Medicine (A100) 5FT Ord MBBS
Medicine (4-year Graduate Entry) (A101) 4FT Hon MBBS
University of Wales Swansea (S93) qualification
Medicine (A101) 4FT Hon MBBCh
University College London (University of London) (U80) qualification
Medicine (6 years) (A100) 6FT Hon MBBS
The University of Warwick (W20) qualification
Medicine MBChB (A101) 4FT Hon MBChB