Universities

What is a good university for law that isn't Cambridge/Oxford? And what do I need to do to look good for universities?

there are plenty of great universities for law that arent oxbridge. LSE, UCL, KCL, Durham, Leeds, Warwick, Edinburgh just to name a few (in no particular order). you can choose to look at university rankings in the UK which are ranked based on different aspects such as student satisfaction and career opportunities after graduation etc., but these rankings are subjective and can vary from publication to publication, so take them with a grain of salt. do your own research, look at course structures and descriptions, see whats right for you and whats realistic, as its different for everybody. here are some rankings/lists in the UK you can look at if you wish:
https://www.thecompleteuniversityguide.co.uk/league-tables/rankings/law
https://www.theguardian.com/education/ng-interactive/2022/sep/24/best-uk-universities-for-law-league-table
https://www.studyin-uk.com/study-guide/best-law-universities-uk/
https://www.timeshighereducation.com/student/best-universities/best-universities-uk-law-degrees
most important thing is to do your OWN research, other peoples advice and opinions may not suit YOU or be right for your circumstances.
best of luck.