Ryka sits next to 4 phonetic neighbors — Rika, Ryka, and Erika are the closest matches by sound. Most share Ryka's Polish-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"peaceful ruler or eternal ruler (from Erika/Rika)"
"fortress of battle"
"divine protection, infallibility"
"dark, from the Adriatic"
"creative modern variant of Anne/Annie"
"God is gracious"
"divine judgment"
"grace, God's favor"
"veena; musical lute instrument"
Similar sound: These names share phonetic patterns with Ryka — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old Norse via Germanic origins, giving them the same cultural heritage as Ryka.
Rhythm: Ryka is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.