You can always check out the Fairy Tail x Rave OVA to get a peek at the characters in Rave, but like Shinta says it kinda ends in the middle of the show.
Edit: On topic, like Shinta I'm not really uncomfortable with most animes, I still cringe at some embarrassing situations though mostly things that are closer to adolescent embarrassing. But I'm fine with incest etc since there's been so many of them that I don't really think about them anymore. But I wouldn't suggest them to people who don't watch anime.
When talking about lolis I'd recommend Usagi Drop to others in a heartbeat and think it'd be a good show to start if people want to see something more serious, mature and heartwarming. Full Metal Alchemist Brotherhood also works but not for everyone because it's pretty long.
Also haven't seen Qwaser, Queen's Blade etc so can't comment on them, but I couldn't really stand watching the first episode of Daimidaler. Just not for me.