As of completion of the 2023–24 season, Boschman is one of only 17 players in NHL history to have recorded over 500 points and over 2,000 penalty minutes in their career.

[7] In his first full season with the Wheat Kings in 1977–78, Boschman registered with 42 goals and 99 points in 72 games, as well as accumulating 227 penalty minutes,[3] helping Brandon have the best record in the league.

[9] Boschman exploded offensively for Brandon in the 1978–79, as he had 66 goals and 149 points in 65 games,[3] finishing only behind linemates Brian Propp and Ray Allison in league scoring.

[3] The Wheat Kings were on the verge of elimination before Boschman scored a pair of goals in the third game victory over the Trois-Rivières Draveurs to keep the team alive in the tournament.

After another win over the Peterborough Petes in the round-robin portion of the tournament, the Wheat Kings made the final on goal differential.

The general manager, Punch Imlach, had narrowed his choice down to two of the Wheat Kings' top line; Boschman and Propp.

[15] Boschman made the Maple Leafs as a 19-year-old, and debuted on October 10, 1979, registering his first point; an assist on Ron Ellis' third period goal in a 6–3 loss to the New York Rangers.

[3] The Maple Leafs made the 1980 Stanley Cup playoffs and faced the Minnesota North Stars in the opening best-of-five round.

[23] Boschman became a born again Christian during his rookie year with the support of teammate Ellis who organized Sunday services for the players.

[24] Boschman played four games with the New Brunswick Hawks of the American Hockey League (AHL) in 1980–81, scoring four goals and five points, as well as 47 penalty minutes.

[25] The rest of the 1980–81 season was spent with the Maple Leafs, as Boschman scored 14 goals and 33 points, and 178 penalty minutes in 53 games, with the mononucleosis affecting his play.

[31] In January, Boschman, suffering from a stomach ulcer, was assigned to the Cincinnati Tigers of the Central Hockey League, but never played a game for them.

As part of McNamara's effort to rebuild the team, Boschman was traded to the Edmonton Oilers for winger Walt Poddubny and prospect Phil Drouillard on March 8, 1982.

[36][38] He finished the 1981–82 season with the Oilers appearing in 11 games, scoring two goals and five points,[3] as the team won the Smythe Division.

[39] In the 1982 Stanley Cup playoffs, he had an assist in three games,[3] as the Oilers were upset by the Los Angeles Kings in the first round of the post-season.

[42] He registered his first point with Winnipeg on March 13, assisting on a goal by Scott Arniel in a 4–3 loss to the Los Angeles Kings.

[59] Winnipeg made the 1985 Stanley Cup playoffs, as the Jets defeated the Calgary Flames[60] before being swept by the Edmonton Oilers for the third straight season, this time in the Smythe Division final.

[3] In the 1986–87, Boschman saw his offensive numbers decline, as in 80 games, he scored 17 goals and 41 points, his lowest totals since joining the Jets.

[3] The Jets qualified for the 1987 Stanley Cup playoffs as Winnipeg defeated the Calgary Flames in the first round, before being swept by the Edmonton Oilers in the Smythe Division final.

[71] Boschman saw his ice time cut as the season wore on[72] and was scratched from the lineup for most of the first round of the 1990 Stanley Cup playoffs.

[73] In two playoff games, Boschman was held pointless,[3] only playing after injuries to Doug Smail and Phil Sykes[74] as the Jets lost again to the Edmonton Oilers in the first round.

[76][77] The acquisition of Boschman was the second trade in as many days by Devils general manager Lou Lamoriello to toughen up the team, previously acquiring Claude Lemieux from the Montreal Canadiens.

[3] He played on a line with Pat Conacher and Doug Brown to begin the season and was a key faceoff winner for the team.

[83][84] The Devils made the 1992 Stanley Cup playoffs with their best ever record to date and faced the first-place New York Rangers in the first round.

[3] The Senators failed to make the playoffs and Boschman played his last NHL game on April 14, a 4–2 loss to the Boston Bruins.

[94] Boschman briefly played with the Fife Flyers of the British Hockey League in the 1994–95 season, scoring nine goals and 18 points in seven games with the team.