Somewhere around thirteen, fishing changes. You stop going because a parent takes you and start going because you and two friends rode your bikes to the lake after school. That sounds like a small thing. It changes almost every piece of gear you need, because now you carry all of it, nobody is there to tie your knots or unhook the fish, and the money is usually yours.
I'm fourteen and that is exactly how I fish, so this list is the one I would hand a friend who is starting out. No rod is ranked here, because the rod has its own page. This one covers the nine things that go in the bag: a sling to carry it all, small boxes to sort it, a real pair of pliers, line that casts well on a teen-sized spinning reel, three kinds of bass and panfish tackle that catch fish in most lakes, polarized lenses and a line cutter. I have not tested every product here. Each pick is ranked from its published specs and its Amazon rating, and the stars belong to Amazon's buyers, not to me.
The kids version of this page is mostly about safety: life jackets, hidden hooks, a parent in charge. This one assumes you are the person in charge. So the order matters less, but there is still an order. Bag and pliers first, because without them nothing else gets to the water or comes back out of a fish. Line next, because the stuff that came on your reel is probably old. Lures last, and fewer than you think.