In England & Wales, the common law offences of blasphemy and blasphemous libel were abolished by the Criminal Justice and Immigration Act 2008 s 79
An excellent starting point are chapters 29 & 30 of Baker's Introduction to English Legal History.
Corrections -- England -- History --
Criminal law -- England -- History --
Criminology -- England -- History --
Criminal justice, Administration of -- England -- History --
You can refine all of these by adding a period eg to 1500, or 16th century, 17th century, 18th century, 19th century, or 20th century.
Expect to find that the Bodleian History Faculty Library has books in this area of research too!
Hierarchy of criminal courts from 1200s to 1971