The leader of the Conservative group on Bristol City Council is calling for a vote of no confidence in First Bus.
Councillor Peter Abraham says the company's refusal to listen to passengers over timetable changes is the last straw.
First Bus says minor adjustments have been made - and it will review the situation in the next few months.
Laura Makin-Isherwood reports.
More top news
Gavin Henson booted an 18-point haul as Bath moved up to second in the Premiership with a 33-23 win over struggling London Irish.
The UK's first "number two" bus is to hit the road powered entirely by human and food waste.
The number of people seeking help with mental health issues after they leave the armed forces is rising here in the West Country.