Depending on the codec of your rendered files, you may not be able to play them back smoothly on any computer without a fast RAID array. Certainly, you cannot playback uncompressed files, and it’s unlikely you’ll be able to play back Animation codec files. They are just too big, and therefore have too much data for the disc to read and keep up a 25 fps playback rate.
If you want to see your finished work on the computer at high quality, try rendering to Photo-JPEG at one tick below highest quality on the slider.
What is your final goal for the piece? Broadcast?
Steve