Several anthologies include short and sweet reads for teens.
Love and Sex: Ten Stories of Truth - Edited by Micheal Cart 2001
Includes a story called "Secret Shelf" by Sonya Sones.
Necessary Noise: Stories About Our Families as they Really Are - Edited by Micheal Cart 2003
Includes a story called "Dr. Jekyll and Sister Hyde" by Sonya Sones and a piece by Nikki Grimes.
How They Met and Other Stories - David Levithan 2008
A collection of short stories about relationships. One, "What a Song Can Do," is written in verse. Find the same story in What a Song Can Do: 12 Riffs on the Power of Music, editied by Jennifer Armstrong, 2004.
This is PUSH, New Stories from the Edge - Edited by David Levithan 2007
One short story in this collection is in verse: Picking by Samantha Schutz.
Sixteen: Stories About that Sweet and Bitter Birthday - Edited by Megan McCafferty 2004
Includes "Cat Got Your Tongue" by Sonya Sones.
Flying Lessons and Other Stories - Edited by Ellen Oh
Includes "Seventy-Six Dollars and Forty-Nine Cents: A Story-in-Verse" by Kwame Alexander.
Open Mic: Riffs on Life Between Cultures in Ten Voices - Edited by Mitali Perkins 2013
Includes "'Under Berlin" by G. Neri and "Lexicon" by Naomi Shihab Nye.
Breaking Up is Hard to Do - Linda Sandoval, Niki Burnham, Ellen Hopkins, and Teri Clark 2009
A collection of four short stories (one written in verse) about the end.
Tomo - edited by Holly Thompson 2012
A collection of Japan teen stories with two in verse: Half a Heart by Mariko Nagai (which is an excerpt from Dust of Eden) and Ichinichi on the Yamanote by Claire Dawn.
Love at First Book - Sarah Tregay 2015
A stand-alone short story. From a distance, Lorelei falls in love with boy with book in his back pocket—but first she has to find him.