#2 The Rock

There is no one more celebrated in the WWE than Dwayne 'The Rock' Johnson. Arguably he and Stone Cold Steve Austin were responsible for putting WWE ahead of all their competition during the Attitude Era. He is a 10-time World Champion, a Hollywood A-lister, and the biggest draw in the entertainment industry.
What has he not done?
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Yes, he's never been part of an Elimination Chamber match.
The same case could have been made for Steve Austin, but sadly, during the period of 2001-2003, Stone Cold was stuck in a creative limbo that made it miserable for him to continue further in WWE. Stone Cold Steve Austin had already hung up his boots before the Elimination Chamber match stipulation gathered steam.
But the Rock could have been part of a lot of chamber matches, not just in his first run with the company, but even in his second stint as well when he returned to WWE in 2011. His run in 2013 with the WWE Championship could have also seen him in a match inside the barbaric structure, but fans never got to see that happen.