You can get information about current criminal court cases in New York City, Nassau and Suffolk Counties, the County Courts in the Ninth Judicial District. Information on how NYS residents can obtain their own criminal history record, and FAQs regarding expungement and Certificates of Relief and Good Conduct.Request an application form and fill it out while you wait. Applicants from the courtrooms for the same date appearance take priority. Criminal records even include records of arrests that do not result in convictions. There are situations where such records can be sealed or expunged. For criminal conviction records — File your paperwork with the MPS. Yes, an arrest record can show up on a background check even if there have been no convictions. It is possible to have an "arrest record", with NO convictions. They do not indicate guilt, as many arrests do not lead to convictions.