The Many-Worlds Interpretation (MWI): "The Many Worlds of Hugh Everett III - Multiple Universes, Mutual Assured Destruction, and the Meltdown of a Nuclear Family” by Peter Byrne
"This is the mystery: when we measure the position of an atomic particle we record it as existing in a definite place, not in all of the many places it occupies according to its smoothly evolving wave function. The emergence of a single position from the set of all physically possible positions is inescapable; it creates a logical discontinuity, a gap, a fissure, an interruption in the flow of the Schrödinger equation; it creates a problem.”
In “The Many Worlds of Hugh Everett III - Multiple Universes, Mutual Assured Destruction, and the Meltdown of a Nuclear Family” by Peter Byrne
I suspect that the reason why the Copenhagen and Many Worlds interpretations of QM are the most well-known is that they are the easiest to explain in classical terms, and therefore most accessible to those who have not already completed an undergraduate level course in QM. You can also find a discussion of the different interpretations in The Road to Reality, by Roger Penrose, but it is heavy going and not recommended unless you have a background in Physics (or Math) to degree-level.
If you're into stuff like this, you can read the full review.