Depending on what the errors are, you could design a filesystem where the apparent block size is a bit smaller than the underlying disk's block size, giving you room to add some sort of error correction code to the bits you write. Then a single-bit error (even if the controller moves a block around within the disk without telling you) can be corrected by the filesystem driver, and the correct data re-written.

(I also want a filesystem that does this so that you have room for a proper authenticated encryption mode for your full-disk encryption - if your apparent block size is the same as your physical disk block size, either you have no room for an authentication tag and you're using a pretty fragile scheme for making your ciphertext tamper-resistant, or you kill performance because you need to read the authentication tag from another block. Current disk encryption software tends to choose the former.)