To start off, go with the build up. I think it's only fair to stack the heels with the heels and the faces vs the faces. I'll take listening to Edge over Jericho any day of the week. Let's face it, Jericho can get boring delivering these long promos. I get that the point is to make you think "Come on, HBK, shut this guy up!" but it shouldn't be "Good God, HBK, get out here and shut him up already." I just feel that Jericho is a little boring delivering a promo by himself but when Shawn is with him it turns into gold. On the contrasting side, however, Edge delivered great solo promos especially in the buildup to HIAC when he went all crazy. Lots of good stuff. Stacking HBK vs Taker is a lot harder, because Taker doesn't really cut promos...he shuts of the lights and occasionally says something menacing, but he didn't do so much talking to Edge as he did staring and such. The other thing I generally recall is that Edge and Taker tended to have a lot of SD matches whereas there was significantly more in the way of talking from HBK and Y2J. Still, both of them told brilliant stories and I must say that both pairs of men were very entertaining. I can only tip the hat very slightly toward Edge for just being a little more fun than Jericho, but that's more of a character difference and really can't penalize Jericho too much for that.
Still, I have to say that the matches must be weighed more heavily. If each side delivered a great story and great promos, I really have to say Edge and Taker have put on better matches. The WM Main Event was just brilliant, pure and simple. An awesome match by all considerations and would have been a MOTY contender if they hadn't topped it later down the line. TLC at ONS was probably the best singles TLC match and is probably in the top 3 of all TLC matches. But Hell in a Cell at Summerslam was incredible. Seriously, this match is going to be huge in the running for MOTY. I don't think there's been one as good as this since the old Taker vs HBK, Taker vs Mankind, and HHH vs Cactus Jack. Easily in the top 5 HIAC matches, and gotta be among the serious options for MOTY.
Take then HBK and Y2J at the Bash, Unforgiven, and No Mercy. The Great American Bash match was pretty good but honestly it was just a slaughter of HBK to set up the feud more. It's a match that could have been done on Raw, really. Unforgiven's Unsanctioned Match was great, a very entertaining No DQ match that featured one of the coolest diving elbows ever. The ladder match at No Mercy was a brilliant ladder match and I would say is just as good as Edge and Taker's TLC match. But the fact remains that while this feud seems to have climaxed with the ladder match, you can look back on it with probably a 3 star, 4 star, and 5 star match, while Taker and Edge featured 3 straight 5 stars.
So all in all I have to tip the hat in the direction of Edge and Undertaker. It's a great feud and will be well remember in the coming years. HBK and Y2J Is still an excellent program, but I just feel that they haven't put on matches on the level and frequency of Taker and Edge.