There's 'Stranger Things' - although it originated as a TV show, there are related books. The kids in it have strange abilities like telepathy and the ability to control the elements. Also, 'The Hunger Games' has characters with special skills that could be considered strange abilities in a dystopian setting.
You might enjoy 'The Invisible Man' which has a protagonist with the strange ability of invisibility. It's a classic with a fascinating plot. Another option is 'Carrie' where the main character has telekinetic powers.