Use the below syntax to get list of all objects of given type:
Version 2.0 or newer
Dim sc As SearchConditions = New SearchConditions(Schema.Class.copyrightObj.ObjectTypeName)
Dim list As List(Of IdName) = login.ListObjs(New ExtSearchConditions(sc, login), False, SpikedHandling.Exclude)
Versions 1.6 or older
Dim login As Common.ILogin = Editorial.EditorialLogin.GetLogin()
Dim sc As SearchConditions = New SearchConditions(Schema.Class.copyrightObj.ObjectTypeName)
Dim list As List(Of IdName) = login.ListObjs(sc, False)
The search condition returns a list id,name that can be used in the drop down list.
Remember to add Obj suffix to the object name as you read it in the Schema Editor in EdAdmin4.