My second youngest sister doesn't like Land Before Time. I wouldn't say she hates it, though. She seems mostly indifferent to it, but would rather not watch it. She isn't really big into cartoons nowadays, with the exception of some Disney movies.
My youngest sister does kind of like Land Before Time. But she refuses to watch the first movie because of Littlefoot's mother's death. She hasn't watched LBT in a long time, but when I had some LBT DVDs available at one point, she watched at least one movie. I forget which one.
My brother kind of likes Land Before Time, but only up to a certain movie. I think movie 5 was where he stopped enjoying the sequels. He does like the first movie and considers it the best one. He suggested that he and I do a review marathon of the Land Before Time movies, but MarzGurl beat us to the punch.