have been doing 是现在完成进行时，表过去发生的动作一直在进行到现在。
We have reading an interesting book since last week.

have done 是现在完成时，表在过去发生的动作对现有影响。
So far I have been to Beijing twice.

没有have being done和have being doing

have(has) been done为现在完成时态的被动语态，表被动和完成的动作;

have been doing为现在完成进行时态，表主动动作，即从过去某一时间开始一直持续进行到现在为止的动作，还有可能继续进行下去，如：
The building has been completed. 大楼已经被盖好了。
They have been building the hall.他们一直在建造着那所礼堂。
(表主动动作，该动作尚未停止，只有延续性动词才能用于此种时态，而have been done无此限制，但必须是及物动词才能用于被动语态)。