A production history answers several questions:
Production history helps us to appreciate the possibilities inherent in a theatrical work; the changing perceptions of it over time; and the theatrical styles and approaches of specific places and times.
Reused from Introduction to Dramaturgy: Production History by Harvard Library
Unless someone else has compiled one for you, there’s no single, simple place to find them. You have to piece the history together from several kinds of sources.
Some of the most well-known plays may have books dedicated to the play's production history, like this one:
Some websites cover a play's production details and history:
Photographs from past products also give insight and inspiration:
Reading theatrical reviews can give you a good sense of a production's history:
To find reviews, search OneSearch using a combination of the play's name and phrases like theatre reviews as keywords. Here's an example: