There's lots of stuff I didn't have room for in my NPR review of this enervating zeppelin-crash of a superhero flick, but first things first: Gotham City and Metropolis are just across the bay from one another? So close that a person who doesn't have Super-eyesight can see the Bat-signal lighting up the sky over Gotham... from Metropolis?
I know this has been asserted in actual DC Comics—pre-Crisis on Infinite Earths, pre-New 52 DC Comics—but it just feels wrong. Gotham is New York City. Metropolis is Chicago. Or St. Louis. Somewhere not coastal.
I thought we all knew that.
Anyway, if you're interested in a delightful Superman-and-Batman story to rinse the bitter taste of BvS away, I recommend Dave Gibbons and Steve Rude's three-issue revival of World's Finest from 1990.