I wasn't aware that compressing a drive necessarily "created problems". Certain applications might have a problem, but overall it's not an issue.
NTFS compression is built into the file system, so it's much simpler than FAT compression, as it doesn't require an external driver or "host drive". That does definitely make it less likely there would be an issues.
However since I expect what you're filling that drive up with is videos and MP3's and the like, you'd be wasting your time to compress it. MP3, Divx, MPEG, et cetera are all highly compressed formats. No compression scheme, whether it be the file system or a Zip type program, will get any additional compression. So a 3MB MP3 would appear to take 6MB on a compressed drive (this was an issue years ago with games, since compression was common, they'd specify that the game might take say 100MB on your drive, but 200MB on a compressed drive, since most of the files couldn't be compressed).