I'm trying to keep our grocery spend to about $650 a month (including cleaning products, personal care items etc.) Family of 4 in the northeast. Doesn't include meals out- we don't eat out often, but we tend to eat at pricier places when we do eat out, so averages out to something like $100 a month.
I've really been working at this - used to be at least $1200 for groceries and we could easily spend $500 on eating out in a given month. Our closest grocery store is a Whole Foods, which did not help. Fortunately there is an Aldi, Costco and a fantastic asian market that are also nearby, so we pretty much only buy meat and a few other specialty items at Whole Foods anymore. Still eating well, just being much more mindful of using up everything we buy and shopping where prices are better, rather than always going for convenience.