Hat tip to one of my colleagues who mentioned this to me today.
I hadn't heard of it — please, don't tell me I'm the last to know? — so figure I should share the info.
The Department of Justice has an iPhone/iPad app called The Daily List. It provides access to daily court lists for the Magistrates', County and Supreme Courts, and the Court of Appeal, as soon as they are published.
It also has a search function, and can sort lists by judicial officer, time or case name!