Detective Game on Original Nintendo (NES): The Adventures of Sherlock Holmes

You're likely thinking of The Adventures of Sherlock Holmes (1989, Towa Chiki).

It's a menu-driven adventure where you:

• Interview witnesses
• Examine crime scenes
• Deduce culprits via logic menus

Not a modern point-and-click, but a faithful Holmes pastiche for its time. Other NES detective-adjacent titles:

• Deja Vu (port of MacVenture)
• Shadowgate (fantasy mystery)
• Uninvited (horror mystery)

All four are on the NES Classic / Switch Online via the "NES – Nintendo Switch Online" app (Deja Vu, Shadowgate, Uninvited are included; Sherlock Holmes is not).