The Reorder List plugin introduces a UI for reordering of the tag’s list without having to drag and drop.
The tag dropdown features a ⇅ Reorder this list button:

Clicking on it will open a temporary tiddler with UI to reorder the tag’s list. Next to each list element (tagged tiddler) are buttons to move it to the top/bottom/one up/one down:
As on the example above, if the tag has a list, there is a button to remove it and reset the ordering.
Rather crude solution at the moment, but it works and was easy to do.
I imagine it would be the most practical to have the top/bottom/up/down buttons right next to the titles in the tag dropdown (no need for the temporary tiddler), but working with the tag dropdown and its styling was too much for me at the first approach.
Why even do this? I wanted to be able to reorder lists on a mobile device with touch screen, where the drag and drop mechanism of the tag dropdown is unusable. I guess with some further work this could potentially be of help in other scenarios of limited accessibility or input methods.
