The Extended WPF Toolkit is a collection of WPF controls that include advanced input controls, layouts, and themes. I listed below few controls that are commonly used:

1. Installing the Extended WPF Toolkit

First, install the NuGet package:

Install-Package Xceed.Wpf.Toolkit

Then, add the namespace in your XAML:

xmlns:xctk="http://schemas.xceed.com/wpf/xaml/toolkit"

Commonly Used Controls and Examples

2. WatermarkTextBox (TextBox with Hint)

A WatermarkTextBox provides placeholder text inside a textbox.

Width="200" Watermark="Enter your name..." />

3. DateTimePicker

A DateTimePicker allows users to select a date and time.

Format="FullDateTime" Value="{Binding SelectedDate}" />

Code-behind (C#)

public DateTime SelectedDate { get; set; } = DateTime.Now;

4. NumericUpDown (Number Input)

A control that lets users enter numeric values with increment/decrement buttons.

Width="100" Value="10" Minimum="0" Maximum="100" />

5. BusyIndicator

Displays a loading animation while performing operations.

IsBusy="{Binding IsLoading}">
     Text="Loading data..." />

Code-behind (C#)

public bool IsLoading { get; set; } = true;

6. ColorPicker

A control that allows users to pick a color.

SelectedColor="Blue" />

7. CheckComboBox

A ComboBox that allows multiple selections.

ItemsSource="{Binding Countries}" />

Code-behind (C#)

public ObservableCollection<string> Countries { get; set; } = new ObservableCollection<string>
{
    "USA", "Canada", "France", "Germany"
};

8. MessageBox (Custom Dialog)

A custom message box.

Xceed.Wpf.Toolkit.MessageBox.Show("This is a custom message box!", "Notification");

9. PropertyGrid (Object Inspector)

Displays the properties of an object dynamically.

SelectedObject="{Binding Person}" />

Code-behind (C#)

public class Person
{
    public string Name { get; set; } = "John Doe";
    public int Age { get; set; } = 30;
}
public Person Person { get; set; } = new Person();

10. RichTextBoxFormatBar

A WYSIWYG editor for rich text.

TargetRichTextBox="{Binding ElementName=MyRichTextBox}" />
 x:Name="MyRichTextBox" />

and there are more.
note it's free for non-commercial use, check their GitHub page for more details:
https://github.com/xceedsoftware/wpftoolkit