He was inducted—as a member of the Tragically Hip—to the Canadian Music Hall of Fame in April 2005 at the Juno Awards in Winnipeg, Manitoba.

On June 15, 2017, it was announced that Baker, along with the other members of The Tragically Hip, would be appointed to the Order of Canada for "their contribution to Canadian music and for their support of various social and environmental causes.

"[2][3] In one of his first musical projects since the end of the Tragically Hip, he played guitar on much of singer-songwriter Justin Rutledge's 2019 album Passages.

[5] In 2023, Baker endorsed and co-chaired the campaign of his local MPP Ted Hsu in the Ontario Liberal Leadership race.

[6] Up until the mid-1990s, he used a 1970s burnt umber Fender Stratocaster, a thirteenth-birthday gift from his father, along with Mesa Boogie amplification and more recently Hamilton amplifiers.