Which does NOT fall under the typical jurisdiction of the Superior Court of the Province?

The correct answer is summary criminal law, which typically does not fall under the jurisdiction of the Superior Court of a province. In Canada, summary conviction offenses are generally handled by lower courts, often referred to as provincial or inferior courts. These courts are designed to deal with less serious criminal offenses, which can include summary offenses that carry lighter penalties compared to indictable offenses.

On the other hand, civil law, family law, and appeals from lower courts are indeed areas that the Superior Court typically handles. Civil law involves legal disputes between individuals or organizations where compensation or specific performance is sought. Family law encompasses matters such as divorce, child custody, and support, which are often litigated in higher courts due to their complexity and the potential implications on parties' lives. Lastly, the Superior Court also hears appeals from lower courts, allowing parties dissatisfied with a lower court's decision to seek a review and potentially a different outcome based on legal arguments.

Therefore, while the other options are integral parts of the types of cases that the Superior Courts manage, summary criminal law is reserved for the lower courts, highlighting the distinct boundaries of jurisdiction among different levels of the court system.