Welcome to the forums, Jeff.
That's a popular non-dedicated flash with a relatively low trigger voltage. So, it should work just fine on any camera that has a both manual exposure and a PC Sync Port available (some do, some don't). You'd have to check the reviews and specs to find cameras that have both. Most entry level compact models will not support an external flash (and may not have manual exposure ability so that you can set aperture and shutter speed).
A good place to start your search is the Best Cameras List (cameras deemed to be a good value within their market niche).
http://www.steves-digicams.com/best_cameras.html
You'd need to use manual exposure on a camera, setting the aperture and ISO speed on the camera to match the aperture and ISO speed for the selected aperture range on the flash. Then, use a shutter speed that lets in the amount of ambient light desired.
But, it should work just fine that way with cameras that have a PC Sync Port to use one (they'd also need manual exposure ability to set shutter speed and aperture, but most cameras with a PC Sync Port are going to have that).
If you are looking at a camera that has a hotshoe but no PC Sync Port, you can usually find an adapter to convert one (adapter fits into the hotshoe and has a PC Sync Port built in). Here's one example:
http://www.adorama.com/NKAS15.html?sid=1168733104621748
You will have some limitations with a non-dedicated flash. For example, if you go with a DSLR, you'll need to use shutter speeds within the camera's sync speed limitations. That means you may not be able to use it outdoors in bright light at wider apertures (because your shutter speeds may be too fast to sync properly with the flash). Sync Speed will vary by camera model (some may be limited to a fastest shutter speed of 1/200 second, and other may be fine at 1/500 second).
But, in most indoor conditions you'd be fine with most cameras having both a PC Sync Port and Manual exposure.