I believe that all drives you mentioned could read fine your burned discs.
I would suggest the Sony.
As far as I know, Sony drives are LiteOn actually.
Sony 1612 is a rebadged LiteOn 166 (old, avoid it) and Sony 1613 is a LiteOn 167.
This means that you can get from Codeguys' site a firmware that would increase a lot the reading speed of DVD R/RW/R DL/ROM DL.
The rest don't have such a firmware.