If you restore from iCloud it should cut out some of that Other.
We're already discussing "Other" in the iOS 8 thread. It's a horrible problem that won't go away. I really wish iTunes would break it down completely instead of just encompassing it all under a single umbrella. Tell us how much is messages. How much of that is images and video and audio sent in those messages. How much is attachments. How much is caches. Just break it down!
Everyone I've restored, I've used the "clean restore" (like restore to new), then applied the backup. I've always cleared out a high or two of other this way.
I've done a "restore from backup" before and that doesn't do it the same way, it's like it just reapplies the backup but without actually deleting any caches or something.
I don't if it's still this way now, but before a "restore from backup" just reapplies your save data and settings and didn't touch stuff like synced music and so forth.
Clean restore erases everythig and then applies your backup THEN resyncs music and other synced media.
Just for the record, I know stuff like shared iCloud photos don't actually keep a full-res version if you resubscribe to an entire album UNTIL you actually select an image and try to view it full screen. Then it downloads that and keeps it forever in a cache.