As per your request here I am providing you the Top UK University League Tables and Rankings. Please check the below list of universities:

The list includes:

1 Cambridge
2 Oxford
3 London School of Economics
4 Imperial College London
5 Durham
5 St Andrews
7 Warwick
8 Surrey
9 Lancaster
10 Exeter
11 Bath
11 Loughborough
13 University College London
14 Southampton
15 Bristol
16 East Anglia
17 York
18 Birmingham
19 Leeds
20 Edinburgh

21 Sussex
22 Kent
23 King's College London
24 Leicester
25 Nottingham
26 Newcastle
27 Sheffield
28 Manchester
29 Reading
30 Glasgow
31 Cardiff
32 Aston
33 Queen Mary, University of London
34 Royal Holloway, University of London
34 Essex
36 Queen's, Belfast
37 Heriot-Watt
38 Strathclyde
39 Liverpool
40 Aberdeen
41 City
42 Dundee
43 SOAS, University of London
43 St George's, University of London
45 Swansea
46 Keele
47 Stirling
48 Coventry
49 Brunel University London
50 Goldsmiths, University of London
51 Lincoln
52 University for the Creative Arts
53 Nottingham Trent
54 De Montfort
54 Bournemouth
54 Oxford Brookes
57 Arts University Bournemouth
58 Bangor
59 Portsmouth
60 Harper Adams
60 Northumbria
62 West of England, Bristol
63 Bradford
63 Hull
63 Robert Gordon
66 Roehampton
66 Ulster
68 Liverpool John Moores
69 Buckingham
70 Bath Spa
70 Falmouth
72 Sheffield Hallam
73 Manchester Metropolitan
74 Huddersfield
75 Hertfordshire
76 Brighton
77 Chichester
78 Queen Margaret
79 Cardiff Metropolitan
80 Gloucestershire
80 University of the Arts, London
82 Edge Hill
83 Glasgow Caledonian
83 Northampton
85 Royal Agricultural University
86 Aberystwyth
86 Winchester
88 Birmingham City
89 Middlesex
90 Plymouth
91 Central Lancashire
92 Edinburgh Napier
93 Chester
94 Derby
95 Abertay
96 Salford
97 Liverpool Hope
98 Teesside
99 York St John
100 Westminster