One of the most important bands of the BritPop era, Suede was a pivotal reason that the British music scene moved back towards guitar driven songs as opposed to the heavily distorted shoegazing sound that dominated British Alternative in the years previous. Suede was one of those few bands that lived up to the hype that the critics bestowed on them, and if there is any criticism on them (and this is a big one) it is that they did not crash down the doors in the United States. That fact makes it exceptionally difficult for them to enter the hallowed halls in Cleveland. 

They were called the next ABBA, and for a brief time that looked like it would be the case. With two men, two women from Sweden, and a bubblegum Dance sound, Ace of Base captured the attention of fans in numerous countries. As popular as their pop melodies were, their peak did not last more than two albums (not very ABBA like) and as such will struggle to receive serious Hall consideration, which ABBA was able to achieve. 

The East Coast response to the Seattle scene brought the world Helmet, an Alternative Metal band that blended Metal with other influences to create their own unique sound. With powerful drumming and disjointed rhythms they carved their own niche in the Alternative music scene and successfully paved the way for other East Coast Metal bands to follow. They may not be a Hall of Fame band, but they established more than just a cult following.

Although they were not commercially successful, Uncle Tupelo has often been cited as one of the more influential acts in Alternative Country history. With strong elements of traditional Country music and the Punk ideology that the band grew up with, they became underground stars. Uncle Tupelo will likely not get indicted, although its lead member, Jeff Tweedy has an excellent shot with his later effort, Wilco.