I don't think any British monarch has been charged with something that was a typical crime, but there are a good number of British monarchs who were essentially charged, either by the nobility or the people, with violating their coronation oaths or the rules by which they were allowed to govern.
Henry II, John, Henry III, Edward II, Richard II, Henry VI, Edward IV, Richard III, Henry VII, James I, Charles I, and James II all faced serious opposition, often from Parliament or its predecessors, to their reigns because they ruled in a way that was deemed unfit.