toilets:wash=* seems appropriate.
IMHO, the “integrated Japanese style” might as well be toilets:wash=washlet tag, per Wikipedia.
Again, Wikipedia suggests bidet (saved everyone a click: taps with a small sink) is slightly different than the usual bidet shower. I guess fancier toilet amenities might offer these kind of bidets (with sinks) rather than the usual bidet showers.
But then again, toilets:wash=shower gets the job done. For those special ones, might be toilets:wash=bidet.
Buckets? I reckon cistern (toilets:wash=cistern) might better fit the description for something like this. In short:
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toilets:wash=cistern (with a water container)
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toilets:wash=shower (the usual, ordinary cleaning option)
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toilets:wash=bidet (for special sinks)
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toilets:wash=washlet (Japanese-style)