The 10.6 requirement could be for some bundled backup software that comes with the drive. Those backup apps are often troublemakers. The drive should still be recognized.
However, there is good reason to get another product. Many "name brand" external drives/enclosures that go on sale every other week at the office superstores simply don't play well with Macs. Too often they have only a USB connenction and older eMacs don't have fast USB. You are better off to get something with FireWire ports for two reasons:
<> FW400 is functionally much faster than USB2, and light-years ahead of USB1.1.
<> Any PowerPC Mac can boot from an external FireWire drive but not from a USB drive.
To see if your eMac has USB1.1 or USB2, do "About this Mac" from your Apple menu and, in the resulting window, click the "More info...." button to launch System Profiler. Your should see a main Profiler sceen labeled "Hardware Overview," something like this:
The second line ("Machine Model" in OS 10.4) will have a code. It translates:
<> code "PowerMac4,4" has USB 1,1 ports and will be dreadfully slow with a USB-only drive
<> code "PowerMac6.4" has USB2 and would be acceptable for speed with a USB-only drive, but the USB drive would not be bootable.
After suffering with the "name brand drives" I now use only the drives from Other World Computing. See this page for their options in deaktop external drives:
http://eshop.macsales.com/shop/firewire/1394/USB/EliteAL/eSATA_FW800_FW400_USB
The cheapest one with USB2 and FireWire 400 is all you need for an eMac, but you may consider one with FW800 if you plan to upgrade to a newer Mac in the future,