Izzy sits next to 4 phonetic neighbors — Ozzy, Ziggy, and Fizzy 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 salvation"
"modern invented name, possibly eight (from Octavian)"
"belonging to the Lord"
"island meadow"
"wise ruler, ruler's advisor"
"God is my illumination"
"auspicious, favorable"
"modern invented name with energetic sound"
"son of Guy"
"healer, to heal"
"gift of God's grace"
"beloved"
"great, venerable"
"famous land, fame of the land"
"gift of God"
"of the gods"
"blessed"
"honoring God, to honor God"
"modern coinage; sky-inspired"
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 (Isaiah) 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.