Looking for a case with a medium neutral citation is simple using the Browse search option, e.g. Marley v Rawlings  UKSC 2,  AC 129.
Click on United Kingdom (the UK part of the citation) under BAILII Databases:
This gives a breakdown of the resources available.
The case citation gives UKSC as the court abbreviation and this is the Supreme Court (the SC part of the citation):
Select 2014 (the date in the citation):
Click on the link for Marley v Rawlings (case no. 2 in the given citation):
If you have any difficulty with locating a case then please contact your Law Library team.