The issue is one that the Star Wars Galaxy must have 3rd generation (Population I) stars to exist, meaning it's at least many billion years post-Big-Bang.
Given the current estimates of 13.75 billion years of age, it's likely it's not more than 8 billion years ago (BYA), in order to allow for the relatively modern shape portrayed in the films. Moreover, the Milky Way has lots of Population II stars, but those can't give rise to life as we know it in their worlds, as the needed high-metal mixtures won't be present to coalesce into terrestrial worlds until the nova of Population II stars forms sufficient metals to generate the population I stars which gave birth to us all. Note that the oldest Population I stars have less than 2% of the metal content, and that we are, as a life form, carbon, calcium and iron with significant smaller amounts of other stuff, but the lower metalicity of the older stars implies a lack of iron.
So, we can rule out the oldest. Getting to the 5 BYA point, we start looking at stars that might have life as we know it. Not so much heavy metals, but still, enough to have stuff we would recognize.
So, I'd say the "Galaxy Far Far Away" had its "long time ago" no more than 5 BYA and probably no more than 1 BYA, because it looks like galaxies of that age.
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