Nikola Zhulev, 30, is still charged with murdering 49-year-old Alan Gardner and attempting to defeat the ends of justice by hiding his body.
He was formally acquitted at the High Court in Livingston of stealing Mr Gardner's Toyota 4x4 and valuables from his home in Balbeggie.
Closing speeches in Mr Zhulev's trial will be made today.
Prosecutors also withdrew a charge alleging that Mr Zhulev sold Mr Gardner's gold at a pawn shop and used his credit card to buy takeaway meals.
He was also found not guilty of driving the car without an MoT certificate and possessing and dealing in heroin in the days leading up to the discovery of Mr Gardner's body.
The jury watched a video recording of Mr Zhulev being interviewed by Det Con David Budd on 11 May 2015.
Det Con Budd asked him: "Are you going to tell us anything about what happened?"
Mr Zhulev replied: "No."
He then gave 'no comment' replies to questions about the last time he had contacted or seen Mr Gardner.
The trial before Lady Rae continues.

Craig Melville is said to have sent a number of messages to an unnamed woman a day after the Paris terror attacks.
He has already been suspended from his role as an aide to SNP deputy leader Stewart Hosie.
Dundee City Council confirmed that its chief executive had received Mr Melville's letter of resignation.
In a statement issued to the Courier, Mr Melville said: "The pressures of the recent deeply distressing allegations are having an adverse effect on the health of my family and I.
"Therefore I do not feel that I am currently able to fulfil my duties as councillor for the aforementioned ward and to continue as convener of the environment committee to the best of my abilities."
In one message, Mr Melville, who was the city's environment convener, is reported to have referred to the SNP's international development minister, Humza Yousaf.
A Dundee City Council spokesman said: "We can confirm that a letter of resignation from Mr Melville has been received by the chief executive.
"A by-election will be called for the Maryfield ward and arrangements will be made in due course."
A Bulgarian man accused of murdering a Perthshire jeweller has had theft and fraud charges against him dropped.
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A Dundee councillor currently under investigation for allegedly sending anti-Islamic texts to a Muslim colleague has resigned.