I am not aware of any services but they have an API. I think it'd be skirting the tos to save it, but if this is just for personal use it might be ok.
https://www.zillow.com/howto/api/HomeValuationAPIOverview.ht...
https://www.zillow.com/howto/api/HomeValuationAPIOverview.ht...
Zillow used to show percentage error but it was a web page showing inaccuracies by zip.
You are right that zillow used to show accuracy by zip code. But I am looking for more granular info.
Anyway, hope this post turns up some useful info.