Well, I'm not gonna state what you all have said,
But I will say that I prefer the DS lite for... unknown reasons... but anyway, It shouldn't have to take a drop (Although it can) I mean, just in case it falls I have brought a DS lite case for Christmas (24 more days to go XD) so if it is in that it can defiantly take drops... lets have a lecture hmm?
Both DS and DS lite have there advantages...
DS, the DS can take bigger drops and is easier to hold, not to mention the fact that the GBA charger also works for it, but a disadvantage is that the screen is darker, and the DS is bigger e.g not so travel compatible.
DS lite, it is slimmer, e.g more travel compatible, brighter screen, which has three different light choices (DS lite brightness, DS brightness, no light) also it has some thing to put in the GBA slot so it doesn't get dusty. Disadvantages, it can't take as many drops and it is smaller so those whom have big hands will have trouble using it.
As you can see both have advantages and disadvantages, it's all up to how you prefer playing the games :)