The spotlight on parliamentary expenses has moved on to Labor frontbencher Tony Burke, with the revelation he took his family on a $12,000 tax-payer funded trip to Uluru.

Department of Finance records show Mr Burke made a four-day return trip from Sydney to Uluru in April 2012, claiming $2,181.43for his own flight and four "family traveller" airfares at a cost of $8,656.48, The Australian reports.

Further review of Mr Burke's expenses claims show he also charged taxpayers for travel allowances worth $1497, and $463.74 for a hire car during the 2012 trip.

The total cost to taxpayers for Mr Burke's trip was $12,707.65.

Labor's chief lower house strategist was one of disgraced Speaker Bronwyn Bishop's most vocal critics over the expenses scandal that led to her resignation on Sunday.

Mrs Bishop called it quits after it was revealed that she had spent more than $5000 chartering a helicopter to attend a Liberal party fundraiser.

Concerns have also been raised over a trip Mr Burke made to Europe when he was environment minister, where his expenses averaged $10,000 a day, according to The Australian.

Independent MP Andrew Wilkie has demanded a wide-ranging audit of all MPs' entitlement and expenses over the last five years.

"There seems to be a widespread practice of parliamentarians travelling at the public expense, often with family members, even though any reasonable person would identify their journey as being principally for personal reasons. At best this is deeply unethical, at worst fraudulent," said Mr Wilkie.

"The accusations in The Australian newspaper today about Tony Burke taking his family to Uluru is a case in point because no reasonable member of the community would feel that the cost of such a journey should be borne by taxpayers."

A spokesperson for the under-fire Labor MP said that Mr Burke had travelled to Uluru to meet with indigenous community leaders.

Mr Burke later released a statement saying he had criticised Mrs Bishop because she had broken the rules.

"[Media reports] acknowledge that there is no allegation that I have broken any of the rules at any point," Mr Burke said.