Trails at Booderee National Park, Jervis Bay?

Yes indeed. There used to be some really nice trails with arching trees over them before the bushfires several years ago.

There's mainly just rather sandy firetrail left now, have a look at the pictures here:

http://nobmob.com/image/tid/118

If you're in the area go up to Mt Tianjara. Again it's firetrail (and very exposed at that) but the views up there are awesome. Write up here:

http://nobmob.com/rides/mounttianjara