He most notably played in the National Basketball League for the Adelaide 36ers between 1985 and 2001, gaining the nickname of "The Chairman of the Boards" for his record-breaking rebounding achievements.

Davis was signed by the 36ers five games into the 1985 NBL season and made an immediate impact, forming the league's leading front-court combination with Peter Ali and fellow import Bill Jones.

The 36ers, including guards Al Green, Darryl Pearce and Mike McKay, made its first Grand Final appearance that season against the Brisbane Bullets but did not win.

By the start of the 1986 NBL season, Davis was already regarded as the premier power forward in the country, and with a team leading 25.3 points and 16.1 rebounds per game, led the 36ers to their second straight Grand Final in 1986 on a back of a 24–2 record (including going 13–0 at the Apollo Stadium).

Following the 36ers championship win over Brisbane, Davis spent the off-season playing for the Long Island Knights in the United States Basketball League (USBL) before returning to Adelaide for the start of the 1987 NBL season.

Davis' great form continued in 1987 and he was rewarded when he was named joint NBL Most Valuable Player with Brisbane's Leroy Loggins, while also gaining All-NBL First Team honours.

The season was also the first year that Davis led the league in total rebounding – an achievement he would repeat in 1992 and would lead to his nickname "Chairman of the Boards".

In the 3rd period of the game, Davis had grabbed a defensive rebound and as he prepared to throw a long pass for a fast break, Tigers forward Dave Simmons attempted to swat the ball away but collected his right arm instead, instantly dislocating his shoulder.

Davis himself gives expert coaching with help from various past and present NBL/NBA players including Willie Simmons and Butch Hays, as well as personnel from the Adelaide Lightning and various Paralympians.

His #33 jersey hangs in the rafters of the Adelaide Entertainment Centre, alongside #4 Darryl Pearce, #5 Brett Maher #15 Al Green, and #21 Daniel Johnson.

Just another one who came in a generation where he was setting the tone for others, and he was just an incredible competitor who did some tremendous things.In March 2015, Davis' #33 was also retired by his local Adelaide club, the South Adelaide Panthers who he joined in 1985 and with whom he won the SA State League championship in 1987, 1989, 1991, 1995 and 1997 as winning a record 5 Woollacott Medals as the fairest and most brilliant player in South Australia.

His number was retired along with the #8 of fellow Australian Basketball Hall of Fame member Michael Ah Matt, and the #9 of long time 36ers and Panthers championship winning teammate Scott Ninnis.