How can I make Views form page with such input fields?
Such view can really help to change meanings of some node field all at once.
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Editable Views should do what you are trying to accomplish. It won't allow you to drag the items up/down, but it will allow you to update multiple fields at once.
Editable Views lets you create Views where the fields can be edited. Fields show both the current value and a form to edit it. A 'Save' button allows saving of all the entities shown in the View.