So why is it that we have this everyday experience that dropping a cup made of glass is a likely disaster, while dropping a plastic or steel or wooden cup is not? It's actually much more subtle: it's not about strength, it's about cracks and scratches.
I am not entirely sure why, but what's happening is that in most ceramics, a scratch creates a place where the stresses inside the material get amplified in a way that doesn't exist with metals. So in metals those cracks also don't like to propagate much; it's really in glass where you see cracks propagate through the whole material. It's more obvious to see why wood doesn't behave this way -- it's made of lots of long strands glued together, so when you crack some of those strands, the crack "runs into" the glue and doesn't propagate. We've actually already stolen this idea from wood -- as fiberglass. Plastics have these really long molecules which also line up like the wood fibers and create a very irregular environment for cracks to propagate, so that may be why plastics resist fracture.
I've often wondered if there is a sort of "miracle glass" which exchanges the hydrogen bonds of plastics for the stronger silicon-oxygen bonding you see in glass, but is also built from "long molecules" the way plastic is. The idea would be essentially to steal the strength of glass and the fracture resistance of plastics while maintaining transparency. But if it were easy presumably someone would have developed it by now, and I'm no materials scientist.