I have shot wood, fiberglas, aluminum, and carbon like others here.
For my longbows, I pretty much stick to wood. As others have said, longbows and wood arrows just naturally go together.
My recurves have generally been set up for aluminum or carbon, though I've set up wood arrows for those at times too. Currently I have my recurves set up and shooting carbon. I like the small diameters and I still can get very good arrow weight. They make a super hunting shaft.
Overall, though, there is no arrow as beautiful to me as a finely crafted wood shaft. I've shot wood for nearly 50 years and built them for myself for over 40. I especially love them for stump shooting, though I've used a lot of aluminums for that as well. Nothing like the smell of a broken cedar shaft on a stump shoot! And they make a great hunting shaft as well.