[2] In 2016, Baba, along with teammate Shusuke Ikuhara, received the best player award as Tsukuba won the 68th All Japan Intercollegiate Basketball Championship for the third time in a row.

[4] On November 17, he scored a career-high 22 points on 50 percent shooting from the field, to go along with seven rebounds, two assists, a steal and a block across 27 minutes in an 81–76 loss to Levanga Hokkaido.

[6] Baba helped Tokyo defeat the Chiba Jets Funabashi to claim their first B.League championship title, tallying 14 points and three steals in the final game.

[8] On October 17, 2018, Baba scored nine points, grabbed four rebounds, dished out a career-high 10 assists and tacked on three steals in a 79–74 loss to Link Tochigi Brex.

[25][26] Baba helped the United return to the NBL Grand Final, where they faced the defending champions, the Perth Wildcats.

In Game 2, Baba scored 15 points, grabbed four rebounds and dished out one assist in an 83–74 win, helping the team take a 2–0 series lead.

He was also the recipient of the club's SHARE Award, an honor that is voted on by the playing group after each game that goes to the player who best upholds the squad's values.

[39] At the 2019 FIBA World Cup Asian Qualifiers, he logged an average of 8.4 points, 3.6 rebounds, 2.0 assists and 1.4 steals per game.

His tournament highlights included a team-high 18-point and 3-steal outing in a 98–45 loss to USA, outperforming Japanese NBA players Rui Hachimura and Yuta Watanabe who had four and nine points, respectively.

[24][45][46] NBL commentator and former player Corey "Homicide" Williams gave Baba the moniker "Tokyo Drift" for his speed.