Photo gallery plugin with Lightbox?

I’m looking for a good photo gallery plugin. Specifically, I would like to be able to:
1) Create a page for hosting images
2) Be able to upload several categories of images on the page (birds, mammals, landscapes, etc). I might have say 4 columns with 4 rows of categories of images
3)When a user clicks on the category (say, birds), they would be able to scroll through the 20 or so images of birds via a lightbox interface.
4) The user could then close the category and go to the next category, etc.

Make sense?
Chris