I used to use Castrol 20w-50, but got Valvoline VR1 for my last oil change after reading a LOT of information on the web and here on the forum, it sounds like it is the best "name brand, off the shelf" oil for ZDDP these days. If you really want to make sure you have enough you can go Brad Penn but that has gotten pretty pricey. Although I don't know that I feel so strongly that I would never try it, I tend to agree with Randall about additives, oil companies spend a lot R & D time and money formulating their oils, will and additive upset the delicate balance and do more harm than good? Don't know, but I am more comfortable buying a premium oil than an off the shelf regular product and adding something.
Will also add after re-reading the original question that Castrol came up pretty good in my research, probably second best of the common oils after the VR1, will also add that formulations have changed a lot over the last five years or so, so try to find dates on the stuff you read, if you do your own research.