The BYU Law Library keeps previous versions of the Utah Code in print, so we have built up quite an extensive collection of historical Utah Codes. We have from 1855 to the present. We also have all the Utah Session Laws (all Utah laws compiled in chronological order).
The historical Utah Codes can be accessed by anyone that comes into the BYU Law Library, with some of the historical Utah Codes being in the Reserve Room on the main floor and some of them being on the first floor in the state materials collection.
If you are not able to come into the BYU Law Library, you may contact the University of Utah’s law library because they have a grant to scan several decades worth of historical Utah Code Annotated, mainly from the year 1943 through 1995. They are published here as they are completed: https://dc.law.utah.edu/uca/. If what you need is between 1943 and 1995 but it is not on that web page yet, you may email the U at valeri.craigle@law.byu.edu and they will expedite scanning what you need within approximately 24 business hours.