These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
YMMV: Superman/Batman: Public Enemies
Ho Yay: You can read a good deal of this into some scenes between Batman and Superman.
Idiot Plot: A lot of the story hinges on half the superhero community trusting Lex flippin Luthor, even though its obvious they all know he is a supervillain even if the world at large doesn't. Far worse in the original comic book story, though, since that one was part of the DCU canon where most or all of them had had several run-ins with Luthor in the past and had first-hand experience of his bastardy.
Actually Captain Atom acknowledges that Luthor is still a supervillian but believes he just put his evil mind to something productive and is getting more satisfaction to his ego by being a great president rather than some villainous scheme. He also uses other presidents that were not too reputable but pulled off great accomplishments as examples.
Nightmare Fuel: Metallo's horribly-burned body. Also the sight of a very 'roided-up Luthor could also be unsettling.
So Cool It's Awesome: Admit it, Luthor having built a holographic statue of himself on the National Mall is highly awesome.
Squick: Honestly, did we really need to see Lex Luthor kissing Amanda Waller?