Due to limitations in the historical context, the available resources, and the investigative techniques of the time, these cases are extremely difficult to solve, and the perpetrators often remain at large.
Jack the Ripper Murder Case:

Date: 1888
Location: London
Description: Jack Ripper was a serial killer notorious for murdering prostitutes in the impoverished East End of London. He used extremely brutal methods, such as dissection and organ mutilation. Despite numerous suspects, Jack Ripper's true identity has never been revealed.
D.B. Cooper Case:

Date: 1971
Location: United States
Description: The D.B. Cooper case is one of the greatest mysteries in American criminal history. A man in a suit, after hijacking a plane, received a ransom and escaped by parachute, but his whereabouts remain unknown. Despite extensive investigations and searches, D.B. Cuban's identity and fate remain unknown.
Malaysia Airlines Flight 370 (MH370):

Date: 2014
Location: Over the flight path of Malaysia Airlines Flight 370
Description: MH370 was a Malaysia Airlines passenger plane that disappeared en route from Kuala Lumpur to Beijing. Although some wreckage has been found in the Indian Ocean, the whereabouts of the 239 passengers and crew on board remain unknown. This incident has sparked widespread concern and various theories.
The Somerton Man:

Date: 1948
Location: Australia
Description: The body of an unidentified man was found on a beach in Somerset, Australia. He had no identification on him, all labels had been cut off, and only a cut-out page of poetry was in his pocket. The identity, cause, and purpose of his death remain unsolved.