The burning of CDs and DVDs isn't too demanding of a task, so a high-end machine wouldn't be necessary, especially considering it's your hobby, not your profession. The RAM's fine, though if you store a lot of media on your computer you may want to consider a larger or a second hard drive.

As to the processor, a 3+ GHz Intel or AMD equivalent would be fine. Dual core and 64-bit processing isn't necessary, particularly since most software has yet to be customized to take full advantage of the newer technologies, but if you're looking for a longer-term solution, you'll definitely want to consider it.

My main question is how much you're looking to spend and what else you plan on using it for. Do you want to watch movies on it? Use it as a TV to record programs? Play higher-end games? That will certainly help narrow it down.

Aside from that, make sure it has a DVD burner (preferably 16x dual-format, dual-layer) along with a separate DVD-ROM drive so that you can create copies with ease. It will come with basic burning software that can get the job done, but if you find you want more there are plenty of options.

Hope this helps,
John