Curiously for Sci-Fi that concerns itself with 'the next step in human/sentient entity evolution', The Stars My Destination is set in a world where everybody has developed the ability to teleport themselves, and society has adjusted to this. In the book, everybody can 'jaunt', within a certain distance (so spaceships are still required) and that they know where there are going. As a consequence, terrestrial vehicles are toys not necessities, and rich people use labyrinths to protect their privacy.
Alfred Bester's short stories also explore consequences of people possessing powers they don't understand, in a serious way... I can't help but think his experience as a sports writer (young people gifted with 'special' physical abilities, etc) influenced his subject matter.