Best practice to eliminate switch statements?

switch (apiQueryType)
{
    case ApiListRequest.ServerInfo:
        apiReturn.DataObject = SingleDataObjectFromXDoc<Server>(xDoc, "serveurs");
        break;
    case ApiListRequest.UserInfo:
        apiReturn.DataObject = SingleDataObjectFromXDoc<User>(xDoc, "ssuser");
        break;
    case ApiListRequest.UserLevelsList:
        apiReturn.DataObject = MultipleDataObjectsFromXDoc<UserLevel>(xDoc, "userlevel");
        break;
    case ApiListRequest.GameInfoTypeList:
        apiReturn.DataObject = MultipleDataObjectsFromXDoc<Data.Entities.GameInfoType>(xDoc, "info");
        break;
    case ApiListRequest.RomInfoTypeList:
        apiReturn.DataObject = MultipleDataObjectsFromXDoc<Data.Entities.RomInfoType>(xDoc, "info");
        break;
    case ApiListRequest.SystemList:
        apiReturn.DataObject = MultipleDataObjectsFromXDoc<Data.Entities.System>(xDoc, "systeme");
        break;
    case ApiListRequest.NumberOfPlayersList:
        apiReturn.DataObject = MultipleDataObjectsFromXDoc<Data.Entities.NumberOfPlayers>(xDoc, "nbjoueur");
        break;
        //.... loads more of these...
    default:
        break;
}