Dwight's NAS (network-attached storage) is a reasonable, neutral option.
I've got firewire and USB external drives.
You can ignore the 'for mac' and 'for pc' aspect at one level - this just refers to the factory formatting and what software is pre-loaded on the drive. For Mac people with 10.5 or later, they have Time Machine and don't need backup software. PC users and earlier Mac users may want the provided software.
The formatting is the main thing.
A FAT32-formatted drive can be read by both OS X and Windows, but you cannot write any files larger the 2 GB onto it. (This would generally only limit you if you have big video files, virtual machine files, or ISO disk images of DVDs, etc.)
A NTFS-formatted drive is the main choice for Windows. But, it can only be read by OS X, not written (without 3rd party software).
For OS X, the desired drive format is OS Extended (Journaled) - but this cannot be read by Windows (without 3rd party software).
You can partition your external drive into two (or more) virtual drives, each with its own format. I find it easiest to partition on the Mac using Disk Utility, since partitioning on Windows is still primitive without someone else's product to assist.
If you are just concerned about backups, then the two-partition solution with an NTFS partition and an OS X Extended (Journaled) partition would do the trick. Copy the software delivered on the external drive onto your computer first before partitioning (erasing) and then copy the software back to the appropriate (windows or mac) partition.
If you want to share files, then make one of the partitions FAT32 - which will let either OS read/write files of size up to 2 GB. I did this on my portable external drive so that I had access to all of my projects, Artlantis/etc media on my old Windows laptop which has a too-small internal HD.
Lots of possible scenarios...
I have not tried it, but there is a free add-on for Windows that lets Windows read OS X partitions - which might then be the best bet.
It's called HFSExplorer:
http://hem.bredband.net/catacombae/hfsx.html
but it is READ only. So, you could not write to the partition from Windows.
MacDrive $49.95:
http://www.mediafour.com/products/macdrive/
sounds like it can allow both reading AND writing, so might be an option if you want your external drive formatted as just one partition in Mac OS X format.
Karl
One of the forum moderators
AC 28 USA and earlier • macOS Sequoia 15.2, MacBook Pro M2 Max 12CPU/30GPU cores, 32GB