Can't exactly show since those things have already been discovered of course. But there is already a good list of AI discoveries out there in various fields, and it's still early days.

Humans also build on what comes before. Many of the "truly new" things that humans have created happened by accident, was discovered by brute force/experimentation, or are remixes of things observed in nature and/or already done by others. There is literally nothing a human can invent that a sufficiently capable AI can't also invent as the techniques are the same.