A fully customizable superhero/villain game, part RPG and part over the top action. An entire world to explore, filled with thousands of completely different stories depending on your place of birth and how your powers manifest themselves. Cities and towns are as structurally accurate as possible, remaining true to their real world counterparts. Everything is fully destructible, from people and buildings to the moon and the planet Earth itself.
For instance, if a character with Superman levels of super strength were to punch the ground with enough force, he could potentially level a city block. Buildings would crumble realistically, and the ground would cave in to reveal the sewers or subway stations below. One could potentially dig their way to the liquid mantle of the planet in this way, and provided the character does not need to breath and can stand the temperature, swimming to the center of the Earth would be possible. Additionally, all buildings could be accessed in their entirety. If you were thrown into a skyscraper, you would likely burst through the window and land inside.
Your character and his or her origin would be customizable to a significant extent, including appearance, place of birth, origin of powers, type of powers, how those powers manifest themselves (right down to their color and brightness, when it comes to energy based abilities), and even their suit, should they decide to create one. Powers would run the full gambit of comic book abilities, from super strength and telepyrosis to illusions and matter manipulation. The player can also opt for the technological approach, though this option would be very difficult for a younger, poorer character to pull off. They can also choose from a wide variety of languages and voices for their character to use, which change as the character grows from a teenager to an adult. Alignment does not change your appearance, but your actions will effect how people speak with you, react to your presence, and your own dialogue options. However, being good does not necessarily mean that the public will always like you (See the Daily Bugle's treatment of Spiderman), especially if your actions cause collateral damage. Without proper preparation and PR management, the government will be quick to label you as a vigilante instead of a hero.
Furthermore, there will be no "plot armor" in place. If your secret identity is to remain secret you would have to be very careful. All it takes is one person seeing you return home after an intense firefight with a gang of bank robbers in the middle of town to bring the cops down on your ass. Unless, of course, you were lucky enough to be seen by someone willing to keep your secret. Often luck and timing play a large role in shaping the player's destiny, as they do in real life. Additionally, don't expect a domino mask and hair style to hide your identity from people who know you.
Of course, who really wants to be a hero nowadays, when it's so fun to be the villain? The circumstances under which a player becomes a villain are often more complex than someone creating a good character, though the line between them can be hazy. The game would support plans that would make Rube Goldberg, Oxymandias, and Yagami Light jealous, though contingency plans are advisable in the event that something should go wrong. You may not even be a villain in your own mind, but a champion of the "greater good." And, of course, the option to monologue when you've captured your nemesis is an option, though don't expect it to end well for you without the proper precautions. Perhaps a bullet in the hero's head would be more efficient.
Around the same time the player begins, thousands of randomly generated NPC across the globe (or perhaps even right next door!) will also receive powers and begin to shape their own lives independently of yours. Your eventual interaction with these individuals will create story arcs that remain entirely unique to each game. Perhaps you and some other like-minded heroes will somehow find each other and create a secret League, or a Legion of Doom for those with less savory aspirations. There would be several long possible plots for your characters to deal with, though these too begin at random. There's even the chance that you just begin to manifest your powers when an alien invasion threatens the globe, and it's up to you to save your city! Should you somehow prove successful, the public's opinion of you is sure to skyrocket. Use that to become a champion for the people, or as a cover for your dastardly plots. It's up to you!
Lastly, experience levels could be gained, though not purely from "killing enemies." Like any good hero or villain, practice makes perfect. When your powers first manifest (or your first robo-suit comes online), you'll have to work out the kinks. Superstrength will take some getting used to, so that you avoid accidently crushing your sibling when you give them a hug, and lightning may prove difficult to direct and control at first. Practicing in a remote location would be encouraged. Over time, experience would be gained as you gain a greater mastery over your powers, improving them or unlocking new abilities. Though these would be selected from a menu, all powers would have different uses not immediately listed. Experimentation could yield surprising and unexpected results, perhaps even allowing access to abilities not shown on the menu at all!
Welp, that's my dream game in a nutshell! Lofty aspirations...