Testers bottles are produce for customers to try in stores before they make a purchase, and are usually without the retail packaging and sometimes even without cap or box. They are also marked on the Bottle or Box or both with “Tester” and are generally cheaper than their retail package counterparts. The fragrance in a retail package and tester are exactly the same despite there being theory in which some think tester are better and others think retail packages are better.
Open Box items are actual retail package items of which cellophane wrap got damage during transit or handling.
Unboxed items are sometime tester without box and other times actual retail product of which either the whole packaging got damage or could be out of a Gift Set where other product are leaked or broken.