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"
"hazel tree woodland clearing"
"from Milan"
"of the night, night creature"
"new star, stellar explosion"
"exalted, ascendant"
"gentle, serene"
"tender, gentle (Arabic Lina)"
"counsel power"
"feminine form of Evan/John"
"torch, flame"
"Great land, the mainland"
"ornament, adornment"
"meadow, plain"
"pure"
"place name — Astoria, Oregon"
"without equal; matchless"
"one who works with dough"
"precious, little rock"
"modest, faithful (flower symbolism)"
"modern invented combination name"
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.