This is fabulous viewing for everyone, although care might be needed for the very young as there's a great deal of "MOE" !!!!
Haruhi is a bored schoolgirl with the power to change the world, unbeknownst to herself. As she busily seeks out paranormal mysteries she has a devastating effect on all around her, including aliens, time travellers and espers...
You may need to look this up on DVD, as I haven't found it free yet, but here's clips: