Caroline, or Change has actors play the washer, dryer, radio, bus, and moon in the show.
Amour is literally a show about a man who develops the power to walk through walls, so that has to be accounted for in any production.
The Wizard of Oz has actors play the trees in the Tin Man introduction scene.
There are a few stage versions of Alice in Wonderland where an actor plays the door/doorknob in the eat me/drink me scene.
Going way back, A Midsummer Night's Dream has the Mechanicals in the play within the play (Pyramus and Thisbe) play the Wall (Tom Snout) and the Moon (Moonshine).As for moving or manipulating scenery, a lot of that depends on the production. Drowsy Chaperone has it written it in the script that actors enter or exit through the refrigerator door as the show within the show comes to life in an apartment. I've seen many Wizard of Oz productions where actors/dancers move the house as part of the tornado scene.