Glancing around the rest of head-fi, it seems you might be wanting to use this for a CMOY, is that right?
This is a bit of an overkill for a CMOY. Any typical 12V wall-wart putting out 200mA is even overkill for a CMOY, which needs a few dozen mA, if that.
SOund quality on a CMOY also seems sufficiently low enough that there'd be diminishing or no return on a fancy regulator either, it would be quick and easy to just throw an LM317 behind a smaller wart and reuse your nicer and higher current parts for some other project.
Given how little current you're pulling, I'd just put an LM7815 in front of the 2nd regulator, use a different power supply or different regulator.
With the regulator you have now, with it's max input of 16V, it's not really as useful for headamp projects, as post-regulated it'll be under 15V at best, with many people quickly wanting to go higher than 15V on more advanced projects. You could get by with sub-6V on a CMOY though, how low depending on the opamp- I dont' mean to imply otherwise.
Edit: Above should read "... could get by with sub-16V", not sub-6V.