If a product, like milk, or bread, is still around after its expiration date, yet it still smells good, looks good, and has no defects whatsoever as if it were bought like 3 days ago, would it still be safe to consume?
Yes. What you see on milk cartons and bread is a 'sell by' date not an expiration date. This also goes for a lot of food items you buy from stores. It's a given date which the store has to sell it by. They are usually always good for at least a good few days after that date. An 'expiration' or 'use by' date can be different, and you may want to consider not consuming it once it has hit that date.
Here is a great guide on this for different types of food for you here: