We have lots of bits of timber, chipboard and plywood available. Some painted, some not, but nearly all treated in some way or another so NOT for burning - can be used to make stuff.
Quite a few pieces of chipboard that used to be some shelving, and could probably be put back together as such. The pieces pictured at the front measure 70cm by 30cm and it's good strong thick chipboard. One circular piece of exterior (I think) ply that measures about 5-6 foot in diameter (I can check if you need me to).
You can have as much or as little as you like. It's in Digbeth, in the clean air zone, so you'd need a relatively low-polluting vehicle to collect it.