It's well-known at this point that Ktown has a monopoly on all things karaoke. That said, the single best private room karaoke in LA is actually in a mall in Little Tokyo. Max Karaoke not only has the best songbook, it's open till 4am on the weekends, and it's essentially BYOB. They don't serve beer inside, but there's a small grocery downstairs where you buy sake, and if you happen to roll in with a 40-rack of Bud Lite, the staff will kindly turn the other way. Come sail away indeed.