When you are looking for an example of a legal case, you may need to start on the open web. Try searching Google (or the search engine of your choice) for keywords that describe the kind of case you'd like to find, along with "legal cases". For example:
civil law AND "legal cases"
criminal law AND "legal cases"
real estate AND "legal cases"
restaurant industry AND “legal cases”
Explore the sites in your results - hopefully you'll find some nice lists of example cases to browse. Once you have found a case that interests you, you can use a legal database such as Nexis Unito search for the actual case by party (see directions here).