I have a cheap spinning setup and it's relatively lightweight on its own, but I'm not enough of a fisherman to spend big bucks on a lightweight setup.

I focus on carrying the bare essentials. Look at everything you want to have with you and determine what you need. The heaviest part of my tackle box is my pliers. When I backpack, I already have a multi-tool so that eliminates that need. I have a smaller, plastic sectioned box that I got at Walmart for less than $10 that holds enough for me. I always have hooks, crankbaits, spoons, various lures, extra line, swivels, lead crimp sinkers, small bobbers, and rope to keep my catch in the water until dinner!

I keep that plastic case in a ziploc bag since the artificial lures have a tendency to leak some lovely sticky juice over everything. I keep that case inside my pack and strap my rod to the outside.