It is very unlikely that you'll corrupt any files, unless you stress the drives more than necessary (e.g. download to the receiving disk while moving). If you really want to be sure, CRC32 (.sfv) should cover corruption of such relatively small files, but I think it'll be a waste of time.
My points:
1) The only times I've (knowingly) encountered corrupt data have been when downloading under a stressed system, recovering previously deleted files or burning a DVD too fast.
2) Original checksums can be nice to have for files that will be stored over a longer period. I personally store checksums per anime, but I've never really used them. "Nice to have" is my mindset.