I would actually recommend watching the original Tomorrow People, a 70's British show. I watched and loved that back in high school. I was excited when they were making a new version, but after a few episodes it did not impress and I stopped watching. There was less shadow government paranoia in the old show.
For new shows in the same genre, I highly recommend Lost Girl. A story of a woman who discovers as an adult that she isn't human, but rather one of the Fey, specifically a succubus. I know Succubi are technically demons, but in the show mythology, 'Fey' covers every non-human person. There is a lot of intrigue between the Light and Dark Fey courts, mystical powers, rebelious sorts... The main character refusing to join either the Light or the Dark and maintaining human friends, but working as a problem solver for both sides, and trying to protect the humans from Fey predation. In fair warning: the show is somewhat sexually charged. The main character is a bisexual succubus after all. While you don't see anything graphic, they push things about as far as they can for television.
You've mentioned Heroes and Alphas, which pretty much covers 'super heroes in the real world' TV shows. Warehouse 13 was good... Basically agents sent out to find all the mysterious, mystical artifacts and secure them for safety's sake. Once Upon A Time takes a page from Lost Girl. All the stories you've read are true, and they interact with each other. Alice from Wonderland meets Malificent, Jaffar and Captain Hook sort of thing. Santuary, Being Human, Haven and Eureka were also good. All have been canceled I think, but there's always Netflix and Hulu.