In my case using 10.10.3, the slow open/save dialogs began a week ago on a 6 month old Mac which worked fine until then. The problem occurs after the dialog is opened - the file/folder list appears but clicking and scrolling appears to hang for up to 10 or so seconds while the beach ball twirls. Then clicking/scrolling is restored and I can open my file. But the problem repeats itself without end.
I ejected my external drive, which fixed the problem. When I remount the drive, the problem is back. I rebuilt the drive with Disk Warrior but DW reported nothing to fix. But I need to use the drive periodically and for scheduled cloning at the end of the day, which won't happen if I forget to remount the drive.
Using/quitting Dropbox had no effect.
I also logged into a special user that I keep for testing problems like this. The slow behaviour occurred with that user as well, so I've concluded the issue is somewhere in the system files.
I ran Onyx - cleaned every cleanable cache etc. - this did not fix the problem.
I thought about reinstalling Yosemite, but not as a clean install, I'm not that desperate yet. However, I doubt that reinstalling this way will do anything, it reminds me too much of taking a bath with clothes on.