We list the dates in our summary of EU standards at
http://www.dieselnet.com/standards/eu/ld.php#stds. European regulations specify two dates: (1) the date for new type approvals (new models), this is what we list in the table, and (2) the date for the first registration of existing, previously type-approved models, which in most cases (but not always) is one year later.
The vehicle in your example could be Euro 1, but the date range you specify is not conclusive--it can include pre-Euro 1 vehicles at the beginning and Euro 2 vehicles at the end. For example, if the vehicle was manufactured in February 1993 and the vehicle model was type-approved after 1992.07, it is likely Euro 1, but if the model was type-approved before 1992.07, it could be pre-Euro 1 (i.e., not emission regulated). At the other end of your range, if the vehicle was manufactured in January 1996 or later, it could be Euro 2 if it was a new model or Euro 1 if an old model.
In addition, emission standards often include various flexibilities that allow manufacturers to sell old emission class vehicles (for instance old inventory) past the deadline for a new emission stage. The opposite is also possible in Europe, where manufacturers can receive incentives for early introduction of cleaner vehicles (although I'm not sure if this was in place at the Euro 2 stage). Therefore, deducting the emission class from the date of manufacture may not be reliable, especially around periods when new emission requirements become effective.