using System;

using System.Collections.Generic;

using System.Linq;

​

public class Program

{

    public static void Main()

    {

        var objects = new List<Object>{1, 2, 3, 4};

        var convertedList = ConvertList(objects, typeof (List<int>));

        Console.WriteLine(convertedList.GetType().Name);

        Console.WriteLine(convertedList.GetType().GetGenericArguments().First().Name);

    }

​

    public static object ConvertList(List<object> value, Type type)

    {

        var containedType = type.GenericTypeArguments.First();

        return value.Select(item => Convert.ChangeType(item, containedType)).ToList();

    }

}