I Was Adopted 60 Years Ago. At This Stage What Is The Best Way To Trace Any Family I Have?

This would be a long and tedious task to undertake. If you have your adoptive papers, they might tell you what agency they were with, and you could try to contact them, since there has been so much time that has passed, you might be able to get them to release this information to you.
It might be as simple as finding out who your mother and father were, and hope that they might have had more children together, or at least your mother having other children.
I know this isn't going to be easy for you, I feel for you. Once you find out the adoptive company or corporation, then you might be able to find out who the parents are or were, where they were located, and go from there. I wish you all the luck in the world, find a sibling at least, and settle your issues.

Relations are sometimes very critical and difficult to grade for a man. A man remains involved and lost among different relations through out his life as a son, as a brother, as a father, and as a grandfather. Some relations are not real as they are made artificially with adoption. Your question that I was adopted 60 years ago. At this stage what is the best way to trace any family I have? Can be explained in the following way.


Adoption, which took place 60 years ago, naturally the couple that adopted you must have passed away from this world and now you feel yourself alone and dejected. My brother definitely you would have got married and you will be having a wife, children and even your grandchildren. Forget about your past whether you were adopted even then you have your own family and now I don't think you need to trace your family because you have your family in the shape of wife, children and grandchildren. I think this explanation will satisfy your question.

About 9 years ago I located my half-brother, who was adopted at birth. Our mother has passed away, and I decided to do the search. Where I live, the court has a system of going through what they call a "confidential intermediary" who is paid a basic rate to do the search and then will make a confidential contact with the other party when they are found (in my case, found my brother), to see if they will agree to be in contact with the person who is searching.  

I was very fortunate - I found that I have an awesome half-brother who is 10 years older than me. I have traveled to meet him and his family.  He was an only child in his adoptive family, so he was very excited to learn that he has siblings.  A couple of years ago, he traveled to meet our other brother and extended family, and we continue to stay in touch.  We are both grateful that we have found each other!  
Let your heart lead you . . .

There are many online resources where you can register your date of birth and whatever else you know (county, hospital, etc), and others who are searching do the same - for example, if you have birth siblings, they may also be registered and looking.
Best wishes!