I love a good superhero slugfest, they can be very... cathartic (If they also feature cute acrobats or the like, so much the better, but it's not absolutely required)
However, I love the offbeat too, the "slice of life" stories which look at how superpowers impact ones life, and look at why some people become heroes and some people become villains, and why some people don't actually do much with their powers. The likes of "Astro City" and "DP7" examine this sort of thing, but there are others too. This is the first of a series about one title which did it very well indeed, IMHO.
"Common Grounds" was a 6-issue mini series from Top Cow Productions in 2004, created by Troy Hickman, with two stories per issue, and a rotating cast of noted artist telling one story each.
The premise is simple. In this world there exists a chain of coffee shops; "Common Grounds", whose purpose is to create a neutral environment for super-powered beings. Anyone is welcome (though "normals" tend to be intimidated) but the one rule is "NO FIGHTING". There's no truce magic, or power neutralising effects or the like, just mutual agreement. And it holds too, because even supervillains like somewhere to get a nice kruller and a cup of really good coffee. And anyone dumb enough, or psycho enough, to try something there would discover that A) Their bouncers are superpowered too, and B) All the OTHER heroes and villains who liked it there would be after you like a shot. You think Darkseid is bad, just wait until you see Bucky deprived of his coffee and morning Danish pastry... An eternity in the Firepits of Apokalips would be a refreshing spring breeze by comparison. (It's never stated, but one might assume that the Police don't intervene on Common Grounds property because if they're having a coffee they're not robbing a bank, and if you did try to intervene then it would get very messy very quickly.)
These stories are mostly 9 pages long (a few longer, a few shorter), which makes trimming to 1/3 a beast of a job, so I would thoroughly recommend checking out the proper versions of these stories (
It's available as a TPB for those who can't find the single issues) as they do deserve a proper reading.

From issue 1, the tale of Speeding Bullet, who lives
( Beyond the Speed of Life )