I am having the same problems as many other posters -- a huge amount of space is taken up by "other". Originally it was classified as "backups", until I used the Terminal command to turn off snapshots. I have tried nearly everything previous posters have recommended, to no avail. In addition to turning off snapshots, I have scanned the disk using Omni Disk Sweeper to find and delete unnecessary files and backups, secure emptied the trash can, verified and repaired disk and disk permissions, etc.
One thing that has me thrown through a loop in that I somehow unmounted or "deleted" the entire Mobile Backups folder/drive using Omni Disk Sweeper. It used to show up next to the icon for my hard drive; now it is missing. I'm not sure how to get it to reappear or if it's even necessary to bring back.
I first noticed this whole problem when I tried to backup my new iPhone, and was told I didn't have enough disk space to do so. I started deleted and moving around files in attempt to make room, but no matter how much I moved to an external drive or deleted there was never enough room. I eventually attempted to move my 47GB iPhoto library to an external hard drive, which should have made more than enough room for the backup. But even deleting that large file from my drive it didn't bring down my total space usage; instead it appears that my "other" files increased proportionally.
I have restarted my computer several times throughout the process in hopes it would clean itself out, but I'm still having the same problem.
Has anybody found any other solutions in the months and years following previous posts? I'm currently running on OS X Mavericks (10.9.5).