There are two styles of cart used in Sickbay.
Boby Cart designed by Joe Columbo with the swing drawers
These can be purchased new here.
Deleted scene from “The Chase”
“Man of the People” 39:04
Seen outside of Sickbay sometimes
"The Mind’s Eye"
And the the Stile Neolt cart designed by Giovanni Pelis
Starship Mine (around 16:14)
It has three layers of acrylic, black, clear, and frosted clear from top to bottom.