My problem with the Avengers was that they usually starred B listers. That's why I love the Bendis Avengers. They've got Spider-Man and Wolverine and feel more like a part of the Marvel U. Hell, they're the preeminent book of Marvel now, rather than an also-ran.
The first B-List era was pretty good, starting with the Kooky Quartet and ending in the Kree-Skrull War. After that there was usually a blend of A and B listers with the occasional C-Lister/New Character.
IMO, the A-List is Thor, Captain America and Iron Man.
The B-List: Hawkeye, She-Hulk, Hank Pym, Wasp, Vision, Scarlet Witch, Quicksilver, Black Panther, Ms Marvel, Wonder Man and the Beast.
Anyone else is C-List or shouldn't be on the team.