Ignasi

Ilari

Another strong Arabic name, related to Iman. Imani one is popular throughout the Muslim world but especially East Africa. It was chosen for her daughter by actress Jasmine Guy. 

Imani

Innokenti

Iolani feels quintessentially Hawaiian, a stylish origin for <a href="https://nameberry.com">baby names</a> these days thanks to Malia, the Hawaiian name of the Obamas' older daughter.  The initial I is pronounced with a long e sound, as in Waikiki, and the name Iolani has four syllables. 

Iolani

A phonetic variant of the gorgeous Greek name Ione, and one that was used by model Coco Rocha for her daughter in 2015.

Ioni

For the parent who genuinely wants something different, this nature choice is popular in Spain. Downside: connection to words irate and irritation.

Irati

Ishi

This simple name has an animal meaning, like many Native American names, and can be used for either sex.

Ibai 

Iisakki 

Ikki 

Ildi

Ilmari 

Impi 

Indrani 

Indridi

Ingi 

Inkeri 

Ipati 

Irakli 

Irinei 

Ishmerai 

Ishvi 

Itai 

Ithai 

Itri 

Itsuki 

Ittai 

Iuri 

Izanagi 

Izanami 

Izumi 

Iñaki 

Jernej 

Julij 

Juraj 

Jurij 

Jędrzej 

Vana's list "Starting and Ending in I or J" of 40 great name ideas: Ignasi - Jędrzej !

Starting and Ending in I or J