Izzy sits next to 4 phonetic neighbors — Izzie, Lizzie, and Missy are the closest matches by sound. Most share Izzy's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"God is my oath"
"gracious rose"
"most holy"
"princess"
"olive tree"
"lady, woman"
"God is gracious"
"raven, dark-haired one"
"helper, assistant"
"eternal flower, forever flowering"
"most holy, utterly pure"
"beautiful altar"
"wished-for child (from Evelyn)"
"open woodland clearing"
"Life, living"
"of divine nature, heavenly, godlike"
"honey, sweet"
"divine wonder, blessing"
"transparent, pure, sparkling"
"land of the Indians"
"friend, companion"
Similar sound: These names share phonetic patterns with Izzy — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Hebrew origins, giving them the same cultural heritage as Izzy.
Rhythm: Izzy is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.