In addition to the baths, linen changes, and blood draws, nurses in the ICU where I worked (have been in ER now since May) are also responsible for stocking the rooms and emptying the trash and linen bags. The fun part about stocking is that all of the linen has to be refolded to make it fit into the cabinets.
We do this in my ICU as well. And the nurses are responsible for counting the equipment in the emergency carts (airway cart, procedure cart, neuro cart, crash cart, heart cart, etc.) Now some things in the carts, like the instruments (in the procedure cart only) may require a nurse to identify them, otherwise, it's just basically counting the equipment to make sure the correct number is there. There's a list on the top of the cart. A tech could surely do this.
We also have to clean our own equipment, like IV pumps, poles, cables, etc. A tech could do this as well.
Occasionally we have an "equipment tech" to do this stuff, but not often.