Generally all adult court criminal proceedings in England and Wales are matters of public record. (The same is not true of proceedings involving defendants aged under 18, which are generally confidential). The public has the right to access records of verdicts and sentences. There is nothing secret about these proceedings either at the time they occur or later.
The difficulty in accessing them lies firstly in establishing where they are (some are kept locally, some centrally) and arranging to inspect them. However, facilities are available if you know where to look, but there is no single place to go for all of them.
Ideally you need to know where the proceedings took place and then enquire where the records for that particular court are held. There are some websites which do show details of large numbers (but not all) criminal proceedings. “The Law Pages” is an example:
http://www.thelawpages.com/
Transcripts are a different matter. Magistrates’ Courts do not routinely have stenographers to record their proceedings although notes of evidence given in trials are taken by the court’s legal advisor. However, these and Crown Court transcripts do not form part of the court’s record which is publicly available.