An important point to consider is if you want to do some testing with your drive or not. One of the important considerations by people in this forum other than being able to burn good quality dvd's is also the ability to run scan tests on the dvd's after the burn, and also how good and fast a ripper the dvd writer is.
That is why alot of people like the BenQ drives, because they not only produce quality burns, they can also do a lot of testing with them, and they are also good readers.
Of the three drives you have listed the LG has the reputation of having the best burns, but I have heard the LG burners have limited testing ability.
The Liteon is considered a good burner and Liteon drives have lots of tools to do testing. The burn quality for the fanatic is not as good on a Liteon, as it is on a LG.
I've also heard the new Samsungs are very good.
So to answer your question.
IMO I like the BenQ the best, if you can get a hold of a BenQ 1650 or 1640, I would get it.
Of the three listed, I would agree with chas and get the LG, but be aware that if you want to test your dvd's after the burn for quality, you are somewhat limited.
But, since you can now get burners any of these burners for less than $35 at newegg, I would suggest you get a LG for burning, and a Liteon for testing and ripping.