The oldest of all the standing shaft houses in the copper country, the Champion #4 shaft house was constructed in the late 1880's. It produced until the mine was closed down in the late 1960's. Today it sits abandoned, though there are efforts being made to restore the shaft house and surrounding buildings. This is on private property and most of the buildings are locked up tight, though it's an interesting place to see if only walking around it outside. From my understanding tours are also available upon request. Check out the link at the bottom of this page if that interests you.
To get here from Houghton, head west downtown, through the yooper loop and west on M-26. Continue until you reach Painesdale. Turn left onto Kersearge Street and continue slightly right to keep on Goodell Road. Turn right onto 2nd Street and you'll see the shaft house to your left shortly after. You cannot miss it.
Big thanks to Andrew Dubay for the photo!