"list the case" is correct and can be used in written English.
You can use it when you want to outline or present a particular situation or set of facts. For example, "Please list the case of the defendant in detail, including any known mitigating circumstances."
Another way is the list the cases out on a sheet of paper and write brief notes (perhaps three or four lines worth) per case.
A survey on implementation of Food Hygiene in the Italian food industry was carried out, by using a specifically developed check-list; the case of Aseptic Processing and Packaging Systems was covered.
Two judges attempted to speed matters up by listing the case for a hearing in July.
The clerk's office of the appeals court inadvertently and briefly listed the case on a public docket.
Parade, the Sunday newspaper supplement owned by Advance Publications, ran a trade ad listing "The case of the missing men" among problems with TV ratings and ad rates.
Dr. Mitchell listed the case under "Idiopathio Somnium," of which he claimed there are seven different types, the last being "Somnium" with ability to pray & preach or to address the Supreme Being... .. Dr. M. mentioned a number of similar cases.
The Supreme Court says that it has now listed the case provisionally for another hearing in the autumn.
He listed the case for a further review early next month, with the trial due to begin on 26 November.
Listing the case for review next month, Judge Corinne Philpott QC told the lawyers that the trial would take place next March unless she could find an earlier date.
No one has been arrested for the crime, though in July 2015 the FBI listed the case as "investigation closed," according to public records.
