[1] His torn ligament made him unable to compete in the football season prior to his Western Hockey League draft year.

Prior to the 2005–06 season, Reaves was named an alternate captain alongside Mark Derlago, Riley Day, and Derek LeBlanc.

[8] At the conclusion of his major junior season, Reaves attended the Blues 2007 training camp and was reassigned to their American Hockey League affiliate, the Peoria Rivermen.

[9] While playing with the Rivermen during the 2007–08 season, he suffered an injury in a game against the Rockford IceHogs and was reassigned to the Blues ECHL affiliate, the Alaska Aces.

The Penguins received Tobias Lindberg from the Golden Knights in exchange for Reaves as part of a three-way trade also involving the Ottawa Senators.

[22] On May 31, 2021, Reaves was suspended for two games in the second round of the 2021 Stanley Cup playoffs for an injury on Colorado Avalanche skater Ryan Graves.

[25] After going scoreless in 12 games with the Rangers to open the 2022–23 season, Reaves was traded by New York to the Minnesota Wild in exchange for a fifth-round pick in the 2025 NHL Entry Draft on November 23, 2022.

[26] After opting to hear offers on the free agent market, Reaves signed a three-year, $4.05 million contract with the Toronto Maple Leafs on July 1, 2023.

During the second round of the 2021 Stanley Cup playoffs, Reaves received a match penalty for attempting to injure Colorado Avalanche's Ryan Graves, after kneeling on his neck and pulling parts of his hair out.