Why does LUKS use CBC?
Liam Dennehy's answer shows that luks doesn't use CBC by default anymore. As for why it used it instead of CTR before, that's because, under the usual adversary model for disk encryption, CTR isn't secure for disk encryption (as you can see on Wikipedia).
Unless you change the IV on every change, which would require encrypting the entire disk for every change, if your adversary has at some point had the plain text and cipher text for a block, he can decrypt that block until you change the IV, as CTR encryption simply produces a stream of random bytes for a given block which is xored with the plain text. The only way to make it secure without requiring reencrypting the whole disk for each change would be to store an IV per block (which would change for each update), which would be either quite costly in terms of disk space, or would require big blocks and thus reencrypting a lot for each update.
Note that in CBC mode, each 512 byte block has its own IV generated from the key and block number, so two identical blocks will not be the same after encryption.