Your question makes it very clear that you are concerned about the simplicity of the user interface. Usually, UI gets very complex for a lot of paid time-sheets.
Now, here’s a time-sheet with a difference.
XRM Labs has developed an easy to use a time-sheet application known as xTimesheet. xTimesheet is packed with features and simple to use, keeping in mind requirements like yours.
The best feature of this application is the easy on-boarding of the company along with their hierarchy and managerial ranks decreasing from top to bottom.
Logging work hours on xTimesheet is easy such that anyone can effortlessly to fill his daily work hours. Users need only select the project from the drop-down and a task related to the selected project to enter work details and time against it. It’s as simple as it looks.
Also, you can easily track paid holidays in this web application, it’s easy to use with a lot of interesting features for project management and time tracking analysis.