I would first find out which company made the database software and search for a converter that may exist.
If such a converter doesn't exist, try to get the database software itself and run it in a virtual machine with the correct OS for the database server. Most database servers that run on Windows can be accessed through ODBC. Using that you should be able to retrieve data from the old beast and put it again in a database that is supported for a while, such as Oracle and Microsoft (maybe IBM?).
All these companies have free versions of their database software, which are normally limited in storage space and some functionality. However, the limits of these databases is a multitude higher than anyone could dream of in 1995.
The open source databases PostGreSQL will also be here for a while still.
Some digging in the dusty archive resulted in this link
, which describes a company Neologic that might be the maker of the database format you are sifting through.
My suggestion is long in the tooth as well, but getting data from old obscure data formats is a dread...at best!