Kairi sits next to 4 phonetic neighbors — Kyrie, Kiri, and Cari are the closest matches by sound. Most share Kairi's Japanese cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"sea, ocean"
"home ruler, estate ruler"
"my God is gracious"
"manly, brave"
"joy, happiness, delight"
"rose of Sharon (biblical flower)"
"ruler of the elves"
"compassion, forgiveness, grace"
"quintessence, the truest form of something"
"crooked mouth"
"little Joss, playful one"
"calming, soothing (by association with the herb)"
"of genuine quality, excellent"
"alive, living"
"God is gracious, God has shown favor"
"seaweed (edible)"
"precious gem"
"clear as ice, pure"
"from the lake, lake dweller"
"royalty, the divine"
Similar sound: These names share phonetic patterns with Kairi — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Japanese origins, giving them the same cultural heritage as Kairi.
Rhythm: Kairi is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.