Enumeration extension methods

Yes, just code against the base Enum type, e.g.

public static void Something(this Enum e)
{
    // code here
}

The down-side is you'll probably end up doing some quite nasty stuff like finding the real base type using Enum.GetUnderlyingType, casting, and going down different branches depending on what the base type of the enum is, but you can find some good uses for it (e.g. we have IsOneOf and IsCombinationOf methods that apply to all enums).

PS: Remember when writing the method that, although ill advised, you can use float and double as the base types for enums so you'll need some special cases for those as well as unsigned values.

Yes, you can. The target extenstion type is of type Enum. In C#, this would be done as:

public static void EnumExtension(this Enum e)
{
}

or like this in VB:

<Extension()> _
Public Sub EnumExtension(ByVal s As Enum)
End Sub

FYI Here is a great example of an Enum Extension method that I have been able to use. It implements a case insensitive TryParse() function for enums:

public static class ExtensionMethods
{
    public static bool TryParse<T>(this Enum theEnum, string strType, 
        out T result)
    {
        string strTypeFixed = strType.Replace(' ', '_');
        if (Enum.IsDefined(typeof(T), strTypeFixed))
        {
            result = (T)Enum.Parse(typeof(T), strTypeFixed, true);
            return true;
        }
        else
        {
            foreach (string value in Enum.GetNames(typeof(T)))
            {
                if (value.Equals(strTypeFixed, 
                    StringComparison.OrdinalIgnoreCase))
                {
                    result = (T)Enum.Parse(typeof(T), value);
                    return true;
                }
            }
            result = default(T);
            return false;
        }
    }
}

You would use it in the following manner:

public enum TestEnum
{
    A,
    B,
    C
}

public void TestMethod(string StringOfEnum)
{
    TestEnum myEnum;
    myEnum.TryParse(StringOfEnum, out myEnum);
}

Here are the two sites that I visited to help come up with this code:

Case Insensitive TryParse for Enums

Extension methods for Enums