Courts and Tribunals Observers’ Network

You can find court listings at:
Business and Property Courts Rolls Building Cause List
CourtServe (you need to make a free account)
Immigration and Asylum daily court lists
Patents Court Listed Trials
Royal Courts of Justice Daily Cause List (this includes cases before the Court of Appeal)

The court’s judgments are published at:
The National Archives’ Find Case Law service
Bailli
Court and Tribunals Judiciary (you can find sentencing remarks here but not all judgments are published here)

You can find UK legislation at:
legislation.gov.uk