At Loch Raven High School in Towson, Maryland, Landeta was an All-City and All-Metro punter in his only season (1978).
He became the only player in NCAA history to lead the nation in punting and field goals in the same season (1980).
Landeta was the last active NFL player who played in the United States Football League in the 1980s, punting for the Philadelphia/Baltimore Stars in all three of the original USFL's seasons.
Other career highlights include being the first punter in NFL history to average more than 50-yards per punt in a game in three different decades.
In 1994, Landeta led the NFL in punting with a 44.8-yard average playing for the Los Angeles Rams.
He also recorded the longest punt in Tampa Bay Buccaneers history, with a 74-yarder in 1997 in a game against the New York Jets.
On March 6, 2008, the 25th anniversary of Landeta's first game in the USFL, he officially announced his retirement from professional football.
In November 2006, Landeta was elected to the NCAA Division II College Football Hall of Fame.
In September 2011, Landeta was elected to the inaugural Loch Raven High School Hall of Fame Class.
After his retirement from the NFL, Landeta has worked with the Eagles and Giants organizations as an alumnus of both teams.