How to dispose of the vinyl shed walls

Your local fire department should take them off your hands and dispose of them properly (in an environmentally safe manner) and safely.

I say the above, as I recently wanted to dispose of some old engine coolant in a responsible manner and didn't know where I could take it for disposal, so I went to our local fire station to ask them, they pointed me in the right direction and additionally informed me for future reference they take and dispose of petrol (gas).

Mirrors are made up of two parts, the glass and then a reflective coating on the back. Because of this, they are not considered 100% glass and many times the town's recycle pickup (if your have one) for glass will not take them because there will be an additional process to separate the glass from the reflective material backing.

Possible disposal methods:

• Throw it out. We have a recycling/trash center in our town and for a fee you can dispose of bulk items that the trash guys will not pick up. A mirror of that size would be considered a bulk item.
• Recycle. Check your local recycling center, some of them will recycle mirrors at no cost.
• Repurpose. The mirror could be reused by someone else as is if it is good shape. Some advertisement may be necessary in local media, or you can use free advertising as indicated below in the comments by @Steve.
• Donate. A mirror or especially a broken mirror can be reused for many arts and crafts type projects like a mosiac. Check with schools/university or with any local artisans, they might take it off your hands.

Finally, in thier spare time one could create a funkadelic disco ball from the mirror and then sell it on eBay for a small profit.