We have a lot of shared searches. Currently they jumble into a random order which isn't alphabetical and looks messy. I have been told that there isn't an option to make this list alphabetical, therefore I am suggesting that this becomes an option or even that it default to this.
Alternatively an up/down option to permanently re-order the list ourselves would be handy.
I would add to this, the ability to either hide shared searches based on team (So Service Desk only see their searches, and not the ones for Infrastructure). This would reduce the list size considerably. Perhaps also the ability to group searches together under an additional fly-out menu level.