How to sort a list having dynamic object

You need to implement a Comparer[^], and pass it to the List.Sort[^] method.
But since you have dynamic objects, you need to use reflection to get the values. Use this[^] approach:

public class DynamicSerializableComparer : IComparer<object>
{
    string _property;

    public DynamicSerializableComparer(string property)
    {
        _property = property;
    }

    public int Compare(object stringA, object stringB)
    {
        string valueA = stringA.GetType().GetProperty(_property).GetValue();
        string valueB = stringB.GetType().GetProperty(_property).GetValue();

        return String.Compare(valueA, valueB);
    }

}

Of course, if the property you have is not string or not comparable as string, you should change the last statement accordingly.

[Update: some improvements, and a sample]
As I mentioned, you can't use OrderBy, since there is no property you can specify in the lambda expression.

public class DynamicSerializableComparer : IComparer<object>
{
    string _property;

    public DynamicSerializableComparer(string property)
    {
        _property = property;
    }

    public int Compare(object stringA, object stringB)
    {
        string valueA = (string)stringA.GetType().GetProperty(_property).GetValue(stringA, null);
        string valueB = (string)stringB.GetType().GetProperty(_property).GetValue(stringB, null);

        return String.Compare(valueA, valueB);
    }
}

void Main()
{
    var a1 = new { id = 1, name="Peter", email="a@x.com"};
    var a2 = new { id = 2, name="John", address="USA"};
    var a3 = new { id = 3, name="Robert", address="France"};
    var a4 = new { id = 4, name="Albert", position="Boss"};

    var a = new List<object> {a1, a2, a3, a4};

    a.Sort(new DynamicSerializableComparer("name"));

    a.Dump();
}

This sample will run directly in LinqPad[^] (I suggest you download it if you don't have it already, it is a must if you develop linq stuff...), but you can write a simple dumper or inspect the sorted list in VS. As you can see, there is not even a class defined, all objects are inline. Won't work if you change the constructor parameter to a property that's not common in all objects - in such case you have to decide and add logic to the comparer how to compare nonexistent properties. But you can use this sample to implement a comparer for your needs.