As of late I have seen some pretty strong arguments for reading Shakespeare (even if he really didn't write everything attributed to him). Most of my recent reasons have to do with my teaching high school English.
For my sophomores, it is Julius Caesar, and for my seniors, it is Hamlet. Having the need to read along with the students from a second text, I always reach for my Bevington Edition. I like having a second text available, but more importantly, I love having such a comprehensive discussion of Shakepeare at hand each time the moment arises(rare as they are) that a question comes up either during the reading or discussion. The Bevington edition serves me well whenever I teach Shakespeare because I can easily find important information quickly.
I also like the fact that the text is modernized in spelling, presented in a clean and legible font, while keeping an academic presentation in mind. For me this simply means I can read it for enjoyment as well as for teaching purposes easily and without any real problems.
I also like the way that the plays are organized. with many of the other complete editions I have owned throughout the years, chronological order gets to be a bother.
Now, I am no real scholar, but I have acted in several college level and other post-educational setting productions of Shakespeare, and from an actor's point of view the Bevington edition scores well again.
If you are deep into scholarly persuits I am certain you can find flaws within the Bevington edition, as could be found by any expert in any edited literary text. However, as far as an all-round, readable, and informative version of the complete works of Shakespeare (or whoever REALLY wrote all the plays etc.) the Bevington edition has my vote as the best one I have yet to see.