Three of the most common interpretations are summarized here:
Interpretation  Deterministic  One Universe 
Avoids hidden variables 
Local  Avoids collapsing wavefunctions 

Copenhagen interpretation  No  Yes  Yes  No  No 
Everett manyworlds interpretation  Yes  No  Yes^{*}  Yes  Yes 
Bohm interpretation  Yes  Yes  No  No  Yes 
An interpretation with a Yes in every box would be the most elegant and intuitive, but Bell's inequality appears to show that this is impossible within the rules of quantum mechanics. The possibility that the rules of quantum mechanics are in error and that the actual theory of the universe is one in which all of the boxes are yes has also been explored experimentally and there have been several experiments that appear to experimentally confirm Bell's inequality and the rules of quantum mechanics.
Each of these interpretations has at least one No, but they differ in where it is. At the current time, there are no known practical experiments that can distinguish between these interpretations, although there appears to be one highly impractical one known as quantum suicide that does. Attempting to find experiments that could distinguish between the different interpretations is an area of active interest.
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