I really do like Edge's career path. Someone that started as a tag-team wrestler; got over and reached the top. We could debate where he would be if Rock, Austin and Lesnar never left but I think he would still have at least won a World Title.
Triple H has pretty much done it all except from MITB. He did his time in the mid-card and, of course, at the very top. I suppose he never really had a stint as a tag-team wrestler but, even then, he is a two time champ. Kurt Angle was a Grand-Slam champ in the WWE and Triple Crown in TNA. He also won the King of the Ring in 2000. That is pretty impressive. Chris Jericho has won every he could in the WWE including being the first Undisputed WWE Champion. Moreover, he won Cruiserweight titles in WCW. I suppose, like Angle, he lacks a Royal Rumble win.
As for the current roster: John Cena is the obvious name. He is set to break Ric Flair's official record of World Title wins as well as having won the US and Tag team titles. Moreover, he has won two Royal Rumbles. There is also Punk who ticks all the boxes including two MITB wins. Daniel Bryan has also achieved a lot and will continue this. World Titles and possibly a Royal Rumble win are in his future.
The thing I like about Edge, Michaels and even Jeff Hardy is that when they won the tag-titles: they were legitimate tag-team wrestlers. All in tag-teams that many loved watching. After they conquered the tag-team division they moved on and reached incredible heights. With Cena, HHH and Angle their tag-team title wins don't feel as pure.
I will say this; I think Cody Rhodes has immense potential. He won't surpass Edge - that is obvious. Cody has, however, already proven himself to be a great tag-team wrestler in various teams: Goldust, Holly, McIntyre, Dibiase. His Intercontinental Title reign was of a very high quality and I think he can win many World Titles. He might not get 11 like Edge but I'd say 4+ is a possibility.
I don't think anyone can match Edge for his accomplishments as a singles superstar and a tag-team wrestler. Some come very close but numbers don't lie. Edge had an incredible career and while I don't think he is as good as the others that doesn't really matter. He didn't win the European or Hardcore Titles but I won't hold that against him. 11 time World Champion and 14 tag-titles. A Royal Rumble, two Money in the banks; King of the Ring's and 5 Intercontinental Titles. Simply awesome achievements.