I have an Access database created more than 10 yrs back.
I have very important data in it & I think it can be opened in Access 2007 or earlier version. Currentl
Non-Programming Answer: Download and install an older version of the Access Database Engine (2010 or 2007 for example, rather than 2013). Open Excel, navigate to the "Data" tab on the Ribbon and click "From Access". Import the data into Excel, and then Export to an accdb file or do whatever with it. NOTE! opening Access 2013 will trigger a re-install of the 2013 engine, so keep the 2007/2010 installation .exe around.
Programming Answer: Having installed an older version of Access Database Engine, you can use an OLEDB connection in multiple programming environments (C#, VBA, VBScript, etc.) to read/write and move Access data. Gord Thompson's answer also presents the option of jumping to SQL server and back.
See This post for a similar problem using an OLEDB connection
Connectionstrings.com is a great resource
See this post for how to setup an OLEDB connection using C#