For me, adult games means "badass", not cutesy. Hardcore can be any game type really, that's just a term for people who game ALL THE TIME. I haven't been a hardcore gamer for many years, but I'm an adult gamer. That means I don't want to play flower-and-bunny games, I want to play badass games that are cool, not cute.
Do adults use words like "badass" to describe games?
I'd call games like the Imagine series, games based on stuff like Ben 10 etc kids games.
I'd say stuff like Mario, Sonic etc were "universal" games played by all ages.
I'd classify games which try to be "badass" and involve space marines with guns for arms and chainsaws for guns etc as teenager games.
And I'd classify stuff like Professor Layton, Picross, Neves, Trivial Pursuit (the Wii version of which is actually pretty great) and Brain Training as games aimed at adults.
Talking mainly about around 12 year olds, which seem to dominate the internet somehow >.>
If you're really going to feel prosecuted by "12 year olds"...
I blame Phoenix Wright for influencing these kids /Jack Thompson