Word/phrase for importance being reduced
For example when you stop doing one thing before it's finished, and start something else because you, or someone else, considers it more important than the thing you were doing. The thing you was doing is now less important than this new thing that needs doing.
I am trying to think of a heading for list of things like this, things have been dropped half way through to start something else "more important", but still need finishing at some point.
De-prioritised is not the correct word for this in my opinion, as you can de-prioritise jobs that haven't yet been started, or may never be started. I am after a word that clearly gets across that I was in the middle of a job that is now sitting half done because I started something "more important".
Deprioritize/deprioritized and abandoned come to mind when I think of a list of items in this manner. Example would be "The Deprioritized List of _" or "The Abandoned _"
After seeing your comment I would simply suggest interrupted.
Postponed Tasks
Postpone:
1. to put off to a later time; defer:
2. to place after in order of importance or estimation; subordinate
(dictionary.com)
The following might also be good headings if you're looking for something less formal:
On hold-- Paused. Connotations that the event/task is ready to initiate or resume and has been intentionally postponed. (Also used to describe a state of interminable limbo hell on the telephone.)
Set aside-- Removed from the focal point. Similar to cast-off, trashed, or discarded, but holds the possibility of the item/task being restored to its former place. (Can also describe when something is saved or reserved for a special purpose.)
Later-- As opposed to right now. This one doesn't indicate that the task has already been started as well as the other two do.
All along the same lines as @Chris Sunami's popular "Postponed".