The figures show what between March 2014 and March 2015, assaults and burglaries both increased by 8%.
There was a 2.8% increase in sexual offences, and a 1.9% increase in fraud and deception.
However, homicide fell by a huge 40.2%, and dangerous driving leading to death offences fell from 29 to 20. Robbery fell by 6.6%, and statistics also showed a fall in weapons offences of 7.7%.
Offences related to drugs remained virtually unchanged, at -0.9%.
The CSO had suspended its crime figures because of several issues in the report of the garda inspectorate on crime investigation, published in November 2014.
The CSO reviewed its process and the systems for recording crime in the wake of that report, including how data was recorded on the garda PULSE system.
This morning's release therefore include the statistics from the second and third quarters of 2014, as well as the first quarter of 2015.
As part of the review, the CSO said about 18% of crimes reported to gardaí in 2011 were never entered into the PULSE system, and about 3% of crimes were put in the wrong category.
It also found that 4% of crimes "had insufficient information to determine the correct classification" and 7% of incidents in the "complaints" category should have been recorded as crimes.
The CSO has now decided to resume publishing crime statistics on its normal schedule.
The Minister for Justice welcomed the release of the figures, saying “It is vital that we have access to accurate, reliable data on crime. I expect nothing less.”
“Quality data is critical to ensuring that the policing services offered by An Garda Síochána are responsive to emerging and latest crime trends. In addition, members of the public must be kept informed and they must be assured that the crime figures they are seeing are accurate.”