Many people are looking for Lightning cable earbuds these days and currently there are only two models of Lightning earbuds available. Here they both are:
These Lightning connector earphones are available on Amazon and getting great reviews from customers. They only come in one color, lime green, and feature a thin, flat cable with a Lightning connector at the end of it to plug directly into the Lightning port on your iPhone or iPad. It also has a remote along the Lightning cable to play/pause your music and adjust your volume up or down. They also offer noise canceling technology and feature soft silicone earbuds instead of hard ones which can become uncomfortable after long periods of usage.
JBL also offers a pricier earphone/earbud option with an Apple Lightning connector: the noise cancelling Reflect Aware Lightning Earphones, which also include a remote along the Lightning cord. The Reflect Aware is available in blue, black, teal, and red, and is only available for pre-order on their website with availability starting in May 2016.