Shaz sits next to 4 phonetic neighbors — Shay, Raz, and Jaz are the closest matches by sound. Most share Shaz's Hebrew via English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"diminutive of Sharon (fertile plain)"
"Little fire (as variant of Aidan)"
"ruler of the army"
"divine law, path to the watering hole"
"from the white meadow"
"day, daylight"
"God has grasped"
"Just; upright; righteous"
"from South Munster (southern Ireland)"
"iron strength"
"manly, brave"
"sudden dash or rush"
"Armenian (the people)"
"island; one who stands apart or is distinguished"
"from the hill settlement, dweller by the downs"
Similar sound: These names share phonetic patterns with Shaz — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Hebrew via English origins, giving them the same cultural heritage as Shaz.
Rhythm: Shaz is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.