For me, it'll ALWAYS be Acolytes Protection Agency (APA). The group was so over that they didn't even need the tag team titles. They were so over that their entire gimmick played on the fact that everyone else in the locker room saw them as guys who were a force enough to protect ANYONE in the fed. Their gimmick also was very fitting for the time in that they were two badasses who sat in a secluded area backstage playing cards and smoking cigars. More often than not, the backstage area was equipped with a unattached door/doorframe where the only 2 rules of their partnership were that people-in-need pay them for their mercenary work and that they ALWAYS knock on the door. No matter how ridiculous it is to knock on an unattached, lone-standing door, they used their intimidation to make sure that everyone obliged their demand.
And if that wasn't enough, every time they entered the ring, they were behemoths compared to the rest of the teams and their size was on par with the main eventing characters. In my memory, they're the only non-thrown-together tag team in quasi-recent times that were above the titles, a dominating force, and loved by just about everyone in the crowd. I'm 28 and I still wish I could just sit around, play cards, and smoke all day.