User wants to view the projects by Project Name rather than Project ID in the drop-down lists, say of the Time Entries screen.

You can easily control how you view the project list in any screen by setting that up in the Global Settings > User Interface screen under Display As. From here, you can control the format of the project and phase names in the drop-downs. Make sure you choose a format that includes the project/phase name. Check the Core Help for Details.