Eureka sits next to 4 phonetic neighbors — Erica, Eureka, and Urika are the closest matches by sound. Most share Eureka's Greek-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"Exclamation of triumphant discovery"
"grace, favor"
"Modern creative formation"
"bell ringer"
"pledged to God"
"God is salvation"
"modern American coinage; possibly echoing Lateran (the Roman hill)"
"writer, creator of works"
"home ruler"
"slender; narrow passage"
"farm garden, upper estate enclosure"
Similar sound: These names share phonetic patterns with Eureka — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Eureka.
Rhythm: Eureka is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.