It seems that the premise behind most comic-heroes is the Nietzschian “Ubermensch” who, being by whatever means above and beyond the mere existence of ordinary mortals, is also above and beyond their laws (like modesty, curfew, vehicle speed limits, assault-and-battery, vigilantism, gravity, thermodynamics, conservation of energy). Being and preferring to emulate law-abiding moral citizens (as others have commented), I consider that the only right justification for breaking/defying the laws is if the laws themselves are immoral. So my own “ideal” superhero arrangement would be Good Guys vs. Anarchists vs. Tyranny. And in any battle, our heroes may be joined by one hostile faction or the other, depending on the issue at hand, or find themselves in a Battle Royale. Or watch from the bleachers….
Like: Noble characters who don’t compromise. Not angsty-wangsties or sermarionettes, but people with fixed moral standards that force them to make legitimately difficult choices. Well-written storylines. Believable costumes: think Rorschach from Watchmen rather than the Star Sapphires. Objective morality applied to heroes as well as villains. Characters who take their faith seriously (Ben Grimm as a rabbi, Kurt’s Catholicism in the Nightcrawler’s better storylines) without being caricatures.
Dislike: Bad writing. Unbelievable characters or contrived responses to settings or situations. Skankwear (including SuperGirl’s wowzer-window top) and outfits that require superglue to keep on (Indigo Lanterns and Star Sapphires, anyone?). Too-tidy cleanup (all actions, someone observed, should have consequences). Sermarionettes* that subject the story to a preachy agenda (Bibleman, or Captain Planet, or (from DC Comics) the White Lantern Swamp Thing in Brightest Day). Situational morality/ethics. Extraneous sex/sexualization.
Four Powers: Omniglottalism (any language, any time); teleportation (complete with *BAMPF!* and purple smoke a la Nightcrawler); invisibility or shade-shifting (like certain famous hard-to-spell lizard types); perfect logical analysis of any question or situation.
Dreams: No. Just the usual stuff about being naked in public or driving cars through Möibic buildings.
* portmanteau of “Sermonette” and “Marionette”