OP do the packages have your name on them? Maybe they're addressed to a previous resident of your house or apartment?
It's possible these could be the byproduct of a brushing scam, where a merchant will send things in the mail to random addresses then sign into eBay or Amazon (purporting to be you) and leave a 5 star review that will look completely legitimate. But that'd be somewhat uncharacteristic considering the value / name brand of the stuff you've gotten.
If it's obvious who these packages are from (Amazon, Home Depot, etc.) then I would suggest contacting them directly. Regardless, you're legally allowed to keep the products.