2013

In 2013, Matsushita stepped up to the All-Japan Formula Three Championship with the HFDP Racing.^[5] He collected five podiums and another seven point-scoring finishes, to end the season fifth in the series standings, it was the best result for the Honda driver.^[6]

2014

For the next season he decided to stay in the series with the same team.^[7] He was victorious at Motegi, Fuji and Sugo, grabbing the championship title from Kenta Yamashita with a twelve-point gap.^[8]

2015

Matsushita made his début in the GP2 Series in 2015 with ART Grand Prix.^[9] In the first race at Bahrain, he qualified second on the grid opposite teammate Stoffel Vandoorne and finished in the points in both races, setting the fastest lap in the sprint race. At the Red Bull Ring, Matsushita took his first GP2 podium by finishing third in the sprint race. He took his first victory in the sport in the sprint race at the Hungaroring as part of an ART 1–2. He finished 9th in the overall standings.

2016

In February 2016, it was announced Matsushita would reunite with ART for a second season, alongside fellow 2015 rookie Sergey Sirotkin. Matsushita was suspended for the 4th round of the season in Austria due to erratic driving at the previous event in Baku.^[10]

2017

In 2017, Matsushita competed in the inaugural Formula 2 championship, driving for ART Grand Prix alongside Alexander Albon. He scored his first win in the sprint race in Spain, and his second one during the sprint race in Hungary. He scored two more podiums, in Monaco and in Monza and finished sixth in the final standings, beating Albon by 45 points.

2019

Matsushita returned to Formula 2 in 2019 with the Carlin team, partnering Louis Delétraz. He won the feature races at the Red Bull Ring and in Monza. He, again, finished 6th in the championship, two positions above his teammate.

2020

He was announced to drive for MP Motorsport in the 2020 FIA Formula 2 Championship together with Brazilian Felipe Drugovich. Matsushita announced that he would be leaving the F2 Championship with immediate effect on 22 September 2020.^[11]

GT300

Matsushita made his debut in the Japanese Super GT Series in the last two rounds of the 2020 season, replacing Shinichi Takagi – who had sustained injuries from a crash in a Super Taikyu race – in the Honda NSX GT3 Evo of ARTA in the GT300 class.^[14] Driving alongside co-driver Toshiki Oyu, the pair finished the races at Motegi and Fuji Speedway eighth and seventh, respectively. After He left Honda, Matsushita moves to their manufacturer's rival Nissan where he stepped up to GT500 racing with Team Impul alongside Kazuki Hiramine. Both pairs wins their first GT500 race, and clinched 8th in the standings. Matsushita returns to Honda, and moves to Real Racing to partner up with Koudai Tsukakoshi switching with Bertrand Baguette who moves to the other team.

GT500

For the 2021 season, Matsushita decided to join Nissan in the GT500 class, despite having been a Honda junior throughout his career. He was placed at Team Impul alongside Kazuki Hiramine. The duo won the fifth round at Sportsland Sugo, ending a five year win drought for the Impul team.^[15] They nearly also won round seven at Motegi, but Hiramine ran out of fuel on the final lap while leading, although he was able to coast to the finish in third.^[16] They finished the season eighth in the championship, the best result for Nissan drivers that year.

Matsushita rejoined Honda as a factory driver and signed with Astemo Real Racing to race with Koudai Tsukakoshi. Matsushita replaced Bertrand Baguette, who went to Team Impul.^[17][18] For two seasons, he won only one race in Autopolis 2022.

Matsushita then return to ARTA to race with Tomoki Nojiri.^[19]