For City of Bones, I would recommend,
Lament (and its sequel Ballad) by Maggie Stiefvater.
On the day of an important music competition, talented but painfully introverted and nervous Deirdre Monaghan is helped to perform by the compelling and enigmatic Luke Dillon and finds herself inexorably drawn into the mysteries and dangers of the faerie world.
Wicked Lovely (and its sequels Ink Exchange and Fragile Eternity) by Melissa Marr .
Seventeen-year-old Aislinn, who has the rare ability to see faeries, is drawn against her will into a centuries-old battle between the Summer King and the Winter Queen, and the survival of her life, her love, and summer all hang in the balance.
The Hollow Kingdom by Clare Dunkle.
In nineteenth-century England, a powerful sorcerer and King of the Goblins chooses Kate, the elder of two orphan girls recently arrived at their ancestral home, Hallow Hill, to be his bride and queen.
For Summoning, I would recommend,
Shadow Kiss by Michelle Mead.
Rose Hathaway knows it is forbidden to love another guardian. Her best friend Lissa – the last Dragomir princess- must always come first. Unfortunately, when it comes to gorgeous Dimitri Belikov, some rules are meant to be broken……
A Great and Terrible Beauty by Libba Bray.
After the suspicious death of her mother in 1895, sixteen-year-old Gemma returns to England, after many years in India, to attend a finishing school where she becomes aware of her magical powers and ability to see into the spirit world. If you like this one, it is part of a series - #2 is Rebel Angels and #3 is The Sweet Far Thing.
Tantalize by Cynthia Leitich Smith.
When multiple murders in Austin, Texas, threaten the grand re-opening of her family's vampire-themed restaurant, seventeen-year-old, orphaned Quincie worries that her best friend-turned-love interest, Keiren, a werewolf-in-training, may be the prime suspect.