As I explained in a prior post, tires ARE designed and built to a specific vehicles ride characteristics. And during manufacture and testing, tires that don't meet OE specifications become replacement tires. The reality is that tire manufacturers producing tires to auto manufacturers specs are NOT in the business of building replacement tires. The goal of the tire manufacturer is to produce 100% OE tires, as they have contracts with the auto manufacturer for those tires. Replacement tires cost money in materials and labor (conversion costs) and warehouse costs to store tires until there is demand. So if the OE yield is too low, too many tires go to replacement inventory rather than to the vehicle manufacturer.
So to answer your question, there are tires that were built to be OE tires, but did not pass the strict quality testing required by the vehicle manufacturer. In short, the best tires will be the ones that came with your vehicle.
Now, that having been said, there ARE tires that are built for the replacement market that are designed to fit a broader spectrum of vehicles. They may have a higher load limit, different sidewall construction, different tread compound, and be offered in the same size and product line as the OE tire.
It will be a great tire, but won't be designed for a specific vehicles ride characteristics.