Now I know Nick mentions critically acclaimed comics you can be reading, but a lot of those aren't superhero comics, which is something that resonates with kids. I wouldn't hand Saga or The Walking Dead or The Sandman to an 8-year-old
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Those recommendations were never for children. Always adults. There are plenty of kid-friendly comics I could recommend and have in the past: Bone, Amulet, Mouse Guard, Lumberjanes, Battling Boy, Sentinel, anything by Doug Tennapel, anything by Raina Telgmeier. If kids want the superheroes they saw on the big screen, both companies have decades of backstock that have been collected. It's just a matter of having informed parents know which books to pick up. To be fair, there are SOME kid-friendly books, like Squirrel Girl and I believe Batgirl.
But because a younger audience was the target for decades (even as far back as the late 90s, early 2000s), there is plenty of backstock to choose from. A child wants Spider-Man? How about some of the classic stuff? Ultimate Spider-Man is pretty safe. Or, if they're still in print, the Marvel Adventures digests. I think there's a current title called Spidey that's more kid-friendly.
Neither company has, for the most part, aimed their product at a younger audience for years. DC's Dan Didio specifically said their target now are mostly adult males, around my age (give or take a decade). Marvel is close to the same. Which is mind-boggling to me, especially DC. They'll have an R-rated version of Batman v Superman primed and ready to go, yet they still sell kids clothes, bed sheets, chapter books, and toys with those same characters. Hell, there are picture books for Nolan's Batman. I believe there are picture books for Batman v Superman, which is even more mind-boggling. For the most part, though, kids have not been the target audience for a long time. Unless they're specifically branded for younger audiences, like the now defunct Marvel Adventures line or the spin-off comics from cartoons series (Batman Adventures, Superman Adventures, etc). There's no way I'd let a young kid today read a Batman title, with Joker's face ripped off and taped back on or Justice League where Aquaman gouges out Darkseid's eyes.
Hell, I cringe whenever either of my nieces (13 and 7 respectfully) look at my shelves. The 13-year old might be able to handle some stuff, but not Saga or Sex Criminals. I have a shelf specifically for all my kid books like the ones I mentioned (I basically looked at it while typing the recommendations). And the 7 year old has looked at some of those, which is fine. But even
I know most of my comics wouldn't be safe for her to read, even most of my Marvel and DC stuff.