Substitutes George Miller and Harry Bunn were the Shakers’ heroes as the visitors scored for the first time in nine league games to end their run of eight successive defeats in all competitions.
James Henry had put Oxford in front the stroke of half-time.
On-loan Manchester City winger Isaac Buckley-Ricketts won the ball to set up Dwight Tiendalli, whose low cross was turned in at the far post by Henry.
Bury were earlier unlucky when Peter Clarke’s header from a Chris Maguire corner came back off the post.
And Zeli Ismail had strong appeals for a penalty turned down after he appeared to have been brought down by Tiendalli, but Miller began the fightback as he poked the ball home with nine minutes remaining after a long throw was nodded on.
Burton midfielder Martin Samuelsen will use the international break to recover from illness after pulling out of Norway U21's games.
Jonas Lossl is staying 'optimistic' over Huddersfield's chances of survival this season and has urged his team-mates to 'go for it'.