@StairwayToSe7en IMO Tony Soprano isn't that great a character. He's good, but not amazing.
My bracket in round 1: The 32 winners
Rick Sanchez, Jack Bauer, Dexter Morgan, Boyd Crowder, Coach Tyler, Queen Elizabeth, Vic Mackey, Walter White, Villanelle, Hannah Horvath, Arya Stark, Baby Yoda, Bojack Horseman, Jesse Pinkman, Johan Ryan, Cartman, Tyrion Lannister. Darius Epps, Dwight Schrute, Al Swearengen, Gob Bluth, Ron Swanson, Cersie Lannister, Peggy Olson, Michael Scott, Charlie Kelly, Saul Goodman, Rust Cohle, Kenny Powers, Larry David, Pete Campbell, Omar Little
Notes for round 1: Don Draper is overrated as a character. Elizabeth Jennings should have gone deeper but got a horrible match up vs Vic. Nathan Fielder isn't a character right? I really don't care for anyone in Fleabag. WTF is Wags? No Phillip Jennings? Seriously? Where the hell is ANYONE from Boardwalk Empire? Particularly Jimmy Darmody or Richard Harrow. BS. Needed more GOTs characters too. Also The Wire was under represented. Stringer Bell needs to be in this list. I would have thought maybe someone from Homeland would make it. Vern from Oz is a potential omission if you consider it a 2000s show. No six feet under? Okay... S1 from Fargo not S3. ROME!!! Lucius and Pollo MOFOS! No one from Rectify? Blah! The West Wing should have arguably been represented but IDC that much TBH. While I said I wasn't a huge fan of Tony he deserved to make it past round 1. Too bad. Also in Breaking Bad I would have included Gus.
My bracket in round 2: The 16 Winners
Rick Sanchez, Dexter Morgan, Coach Tyler, Walter White, Hannah Horvath, Arya Stark, Jesse Pinkman, Cartman, Tyrion Lannister, Al Swearengen, Ron Swanson, Cersie Lannister, Charlie Kelly, Rust Cohle, Kenny Powers, Omar Little.
Notes for round 2: Vic Mackey didn't deserve to go out that early. Tough match up. A number of characters are still lucky to be in this and lucky better ones didn't make it. This top 16 should not have been this weak. Saul had a hard match up.
My bracket in round 3: The 8 Winners
Rick Sanchez, Walter White, Arya Stark, Jesse Pinkman, Tyrion Lannister, Cersie Lannister, Rustle Cohle, Omar Little.
Notes for round 3: A decent list. I would have liked Phillip or Elizabeth Jennings here, or Vic Mackey. Maybe even Titus Pollo could have made it? Pinkman and Cersie are good characters but I don't feel they belong in a top 8. The others I'm okay with, but not all of the other 6 would have made it in my top 8.
My bracket: final 4
Walter White, Arya Stark, Tyrion Lannister, Omar Little
Notes: Some great match ups here. Omar vs Cohle was the hardest for me. I like these 4. Very solid. I would have picked a different 4 TBH. Probably no Arya, but she is hard to leave out. Tyrion is weakened slightly due to the bad ending of his arc. Arguably no GOTs characters deserve top 4 after how it ended.
My bracket: Top 2 Walter White, Omar Little.
Notes: No real complaints here. The title match up might have been different if things fell differently, but this certain is a quality title match.
My Bracket: Winner and best character of all time: Walter White.