We have them all current on ICLR online
Cases are traditionally cited to the reporter in which they are published. Starting in 2001, the U.K. began using “neutral citations.” A neutral citation cites to the court that issued a judgment rather than to a particular reporter.
The Bluebook requires that you cite first to the neutral citation and then to the official Law Reports, if the case is published therein (See Bluebook T2.42.1).
Here are some examples of neutral citations:
Brown v Davies  EWCA Civ 166
Campbell v Frisbee  EWHC (Ch) 328 at 
[EWCA Civ = Court of Appeal Civil Division]
[EWHC (Ch) = High Court (Chancery Division)]