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Howto someFunction(List<acceptDifferentTypesHere> list) { /*reflection stuff*/ }
List<typeA> listA = new List<typeA>();
List<typeB> listB = new List<typeB>();

private void someFunction(List<acceptDifferentTypesHere> list)
{
   /*elementwise reflection stuff*/
}

private void someFunction<T>(List<T> list)
{
   /*elementwise reflection stuff*/
}

someFunction<typeA>(listA);
someFunction<typeB>(listB);

private void someFunction<T>(List<T> list) where T : MyType, new()
    {
       /*elementwise reflection stuff*/

       var instance = new T();
       Type type = instance.GetType();
       instance.MyMethod();
    }

    public class MyType
    {
       public void MyMethod()
       {

       }
    }