Machinery powered by magic does exist.
There is one example of a machine most probably driven by magic - the printing press of Xenophilius Lovegood:
Harry Potter and the Deathly Hallows, chapter 20:
Luna was not there: The thing that was making such a racket was a
wooden object covered in magically turning cogs and wheels, It looked
like the bizarre offspring of a workbench and a set of shelves, but
after a moment Harry deduced that it was an old-fashioned printing
press, due to the fact that it was churning out Quibblers.
Another example is the car enchanted by Arthur Weasley.
Whether the machinery can cast magic by themselves -
unknown as no examples are given but most probably not there are some limited examples of this
Moving pictures can be made via potions:
Harry Potter and the Chamber of Secrets, chapter 6:
"A picture?" Harry repeated blankly.
"So I can prove I've met you," said Colin Creevey eagerly, edging
further forward. "I know all about you. Everyone's told me. About how
you survived when You-Know-Who tried to kill you and how he
disappeared and everything and how you've still got a lightning scar
on your forehead" (his eyes raked Harry's hairline) "and a boy in my
dormitory said if I develop the film in the right potion, the
So most probably the moving pictures in newspapers and books are made via potions as it is more viable from the manufacturing point of view. A wizard could prepare the potion in advance and it is applied to the photo as part of the production process. There is no need to make the printing machine do magic by itself.
On the other side - there are two examples of objects that have magic "by themselves".
The Sword of Griffindor
It can teleport via the Sorting Hat to any Griffindor in need.
They can return people back in time. It is however unknown whether the person using it needs to be a wizard in order to make this work.