Here's
Dubai's official website and the kind of places for kids and families, mainly theme parks. The last time I've been to Dubai was in 2003, so I don't have first-hand info, but hopefully some of the members can say if these places are trappy or if they're worth it.
The other big attraction that opened up last year is
Warner Brothers World, but it's in Abu Dhabi, which is a bit out of the way, but it looks real promising as far as family activities and rides for kids and stuff.