This appears to be a frequent question asked by CALL members on the CALL-L listserv.
The SOQUIJ blog has a post about that very topic today. It describes the Translated decisions service of SOQUIJ, the Société québécoise d'information juridique, the Crown corporation in charge of publishing Québec court and tribunal decisions.
These are unofficial English translations of selected judgments of the Court of Appeal of Quebec, the Superior Court of Quebec, the Court of Quebec, the Human Rights Tribunal, and the Professions Tribunal.
Some rulings are chosen for their "pan-Canadian" value, in other words for their importance in areas of law that are relevant anywhere in Canada such as criminal or bankruptcy law.
Others that deal with purely provincial matters are selected if they apply legal principles similar to those from the common law tradition. And then there are translations of judgments that attracted media attention even if the issues raised have little equivalent outside of civil law.
Further reading:
Louis-Jacques, Lyonette "How to Find Cases in English Translation, Revisited" Slaw, January 23, 2015.
Tjaden, Ted "Finding English Translations of French Language Court Decisions in Canada" Slaw, March 2, 2011