When I started using veneer I built a four foot deep set of drawers in part of my vertical sheet storage area.
That worked well until I started buying longer veneer. That required some creative storage thinking.
Then when I bought my stock of exotic sawn veneer from Paris, I really had to up the ante and build good storage so I built slide out shelves in my crawl space. There is a set of three four foot square shelves at each end of the trap door area. It is cool and dark down there just like the room in Paris where I bought them. I call mine “La Cave” as did they. The word means the same in both languages but in France also refers to cellars (think wine). :-)
I have some solid wood around too but the first class accommodations are all for veneer.
The early bird gets the worm but its the second mouse that gets the cheese.