The council's political groups were forced to adjourn a budget-setting meeting until week after they all submitted different budget packages in excess of Oxfordshire's capping limit of£339.5 million.
The Liberal Democrats tabled a budget£13.7m above cap, the Green Party£9m above cap, Labour£8m above cap and the Conservatives£6m above cap.
The county voted for a budget£7.4m above cap last year, only for environment secretary John Gummer to insist that it stick to its original£332m limit.
Labour group leader Bob Langridge said: '£8m above cap is far below the needs of the people of Oxfordshire but we have attempted to do the best we can.'
Liberal Democrat group leader Dermot Roaf said: 'We are proposing a budget to protect the most vital services and we will negotiate with all the other groups in good faith.'
Band D council tax for Cambridgeshire CC services - the precept to be added to district council tax bills - will rise by£23 or 5% to£470.97 a year following the county's decision this week to set a budget of£409m.
But Cambridgeshire has approved cuts across the board, despite taking nearly£3m from reserves to cushion the blow for education and social services.
Liberal Democrat leader Maurice Leeke said: 'The government's allocation of cash for Cambridgeshire is woefully inadequate. We were permitted only a 2% increase in expenditure when inflation is running at nearly 3%.'
Band D council tax levels for Surrey CC services was this week set at£488.52,£27.90 or 5.7% higher than the 1996-97 level. Members agreed to spend at Surrey's capping limit of£587m, drawing£14m from reserves to protect services and so allowing the council to spend a total of£601m in 1997-98.
But Surrey was still forced to make cuts, including£1.7m from the non-schools education budget.
Essex CC has confirmed that it needs to make£22m in savings to meet its spending limits, even though it has already earmarked reserves to deflect the impact of what would have been a£50m cuts package. The county meets to set its budget next week.
Shropshire CC will also vote on its final budget plans next week, which involve cuts of£3m.
As LGC went to press, Gloucestershire CC members were locked 'in huddles' trying to thrash out a budget. Budget proposals from Liberal Democrats on the hung council were defeated only on the casting vote of the Labour chairman. A spokeswoman said: 'They would be in smoke-filled rooms, but we're a non-smoking council.'