I replaced the failing drive in my LVW-5007 with a Sony DRU-V204A (a Sony-branded version of the Sony-Optiarc AD-7200A). This technique should also work on the LVW-5005XS and the LVW-5104, which use the same chassis, though I have not seen those models in person.
My goal was to avoid making changes to the chassis, so I cut away part of the drive's case so that it would slide in place. I think that's unavoidable anyway with these units, as the slim height makes the space around the front panel very tight.
1) Remove the front bezel from the old drive while it's still hooked up - you'll need to open the tray. You don't need to touch the screws on the bezel extension - just slide it off right at the drive tray. Also, remove the front panel from the chassis, so you can see what you're doing when you install the new drive.
2) Take the new drive over to your computer and play a region-encoded DVD, so that the region is set in the drive's firmware. (You can still make it region-free in the player's firmware.) I used the drive firmware that came with it, 1.60, but you could also go here for modified firmware that adds bitsetting capabilities for DVD+R media.
3) Then take the new drive and remove the covers, so you can work on it without getting any metal chips inside the drive. (If you haven't done this before, first you remove the bezel, then the front panel, which clips in, and then the four screws on the bottom cover.)
4) Trim away about 1/2" on the top and sides of the drive case, and 3/4" on the bottom. Check the following photos for a guide on where to cut. I used a "nibbler" tool, which was a bit time-consuming; a Dremel tool or other cutter might be faster.
5) Clip the leads that stick out on the bottom board, from the tray-open switch (S411 on this board), so that they won't contact the chassis. (See the third photo.) Also trim the plastic post that's sticking out right behind the switch. I didn't bother to cover any of this with an insulating sheet, because there's plenty of clearance around this board once the drive is installed.