How do I fix the veneer that is peeling off my dressers. They were made in early 60sThey were in mint condition. Problem I think caused by storing in a non AC storage for a year and ahalf. Help!!!

The problem is not caused by storage outside an airconditioned environment so don't beat yourself up about that. More than likely the sections in the photo that have peeled off looks to me like damage to the veneer caused by bad handling when being moved into and out of storage (or damaged while in storage)because that is exactly where I would expect to see a problem due to rough handling.

Sections that are peeling can be removed in total and replaced with new veneer and finished to match the original.

If the furniture pieces are reasonably valuable items you are going to keep for years then any decent cabinet maker can replace the veneer sections that are peeling and it is worth having a professional do it if you are keeping the item.

You can save money by doing the surface refinishing yourself. Just keep some spare pieces of new veneer to experiment with to get the colour and finish as close as possible.

Obviously the veneer work is only as good as how it was carried out by the original cabinet maker. I have a desk from 1972 done in a very nice timber veneer that has never been kept in the air conditioned section of the house and none of the veneer has peeled or broken away. It is still in mint condition and survived 3 house moves, one 500 mile move, but properly protected from damage..