I like some of the ones mentioned. Monster Squad, Remo Williams, My Science Project - these all could stand to have another go-around.
I don't think The Princess Bride is worth trying. The entire movie is too quotable. That would be like remaking Animal House, The Wizard of Oz or some other similarly epic movie. I know, everyone is saying "they remade Karate Kid!!" First of all, the new one sucked. Second of all, the old one hasn't aged well. Princess Bride certainly isn't modern, but you can still watch it today and it holds its own.
A new Superman movie was overdue. I hope they do it right, though.
I'd like to see them reboot some old shows but actually do the shows and not just crappy movies, like Macgyver, Magnum PI or Buck Rogers. They rebooted Battlestar Galactica and it was a huge improvement.
I think we're due for a good Star Trek show too.