I'm going off percentage of offers compared to applicants, for all subjects, then I'll see which actually offer Computer Science:
Oxford then Cambridge.
St Andrews remains fashionable as a university in general but the isolated small setting wouldn't suit me and its facilities for Computer Science look old.
LSE, UCL, Edinburgh, Imperial, King's College London, St George's University of London, University of The Arts London, Queen Margaret University Edinburgh, Leeds Arts University (joint 15th), University of Manchester (joint 15th), University of Bristol, University of Bath, London South Bank University, City University of London.
It seems to me that some London universities, possibly because of location, may attract a lot of applicants regardless of their overall ranking on quality however some of them do still have a prestige of being old by origin.
Other notables and their placing:
28 Keele
29 Glasgow
30 Birmingham
31 Queen Mary, University of London
33 Surrey
34 Warwick (some people will go on here talking as if loads of people want to get in Warwick. It's barely harder for its applicants to get in to than ex-polytechnic University of Sunderland (35th). Obviously it's objectively harder to have the grades necessary to make an applicant likely to put Warwick as their choice but, aside from Mathematics, in which Warwick is highly regarded, and anyone who wants to potentially see famous feminist and English teacher Dr Germaine Greer, there's not necessarily a big clamour to be studying at a place that looks like a sports centre meets travel lodge).
Joint 37th Exeter. Stirling.
47 Loughborough
48 Leicester
50 Nottingham
52 Cardiff
55 Queen's University Belfast
Joint 56th.Liverpool. Southampton.
72 Sheffield
78 Aberdeen
91 Newcastle
94 York (it may surprise some people how relatively easy it is for an applicant to the University of York to get in. That kind of campus certainly isn't everyone's cup of tea. Interesting to look at, not necessarily interesting to live there). And, unlike Warwick, it's never had that powerhouse subject on which it can definitively take on others.
107 Reading
112 Lancaster
The recent QS World University Rankings for Computer Science schools:
Oxford, Cambridge, Imperial, Edinburgh, UCL, KCL, Manchester, Warwick, Queen Mary, Lancaster,
Topuniversities.com also states that Leicester, Loughborough, and De Montfort have placements for their graduates available in the UK and internationally at places such as Pepsico, Sony, Microsoft, and HSBC.
TheCompleteUniversityGuide states that these places, in order, admit the Computer Science students who've obtained the highest grades (remember that Scottish students enter at the age of 17, not 18, so Scottish universities might sometimes appear to have more qualified students than is the case as Scottish students Highers are designed for 17 year olds):
Imperial, Cambridge, Edinburgh, St Andrews, Glasgow, Oxford, UCL, Strathclyde, Warwick, Durham, Bath, Manchester (12th), Bristol, KCL,
Joint 15th: Heriot-Watt. Southampton.
Dundee, Leeds, Abertay, Birmingham, Aberdeen, Sheffield, Exeter, Nottingham, Loughborough.
Liverpool is in joint 39th position with ex-polytechnic Northumbria University, above Surrey, Leicester, and Reading.
If you've got the grades for Manchester for Computer Science then you should be looking well above Liverpool imo. You know The Beatles don't live there anymore? 😉
I'd strongly consider looking at King's College London too.