Can you give some examples of suitable stuff and what it's
called?

It is called joinery quality timber.

Elm is traditonally used for the horizontal parts of chairs
and tables. There's a lot of it about due to the disease. It is
stable so doesn't warp or split. It also looks good. I don't think
the legs are so critical. Any good close-grained wood unless you
intend to turn them on a lathe, then I don't know.

Peter Scott