CDspeed can check the quality of a burned disc. It can also burn discs. It can do several tests. The transfer rate test can help assess the burn quality, and will run on any drive. The Disc Quality test is also good and can be run on some drives, including all Lite-On drives.
You can get more info in the Media Testing forum, including this user guide:
Burn quality not only depends on the drive but also on the media.
Verbatim discs are generally among the best. Taiyo Yuden discs are also good, but they usually are sold under other brand names.