Tamika sits next to 4 phonetic neighbors — Tamara, Tameka, and Tomika are the closest matches by sound. Most share Tamika's Japanese cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"people, child of the people"
"Free one; from France"
"charm, allurement"
"gift of God (folk etymology)"
"hope"
"captivating, one who binds others"
"to carry across water, journey maker"
"Judge; one who judges"
"creative American invention"
"blessed"
"Judged; vindicated"
"rose lady; a woman of roses"
"fire, burning flame, passionate blaze"
"Possibly related to sword or fire brand"
"follower of Christ, anointed one"
"grace; favor"
"calm, serene; of the valley"
Similar sound: These names share phonetic patterns with Tamika — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Japanese origins, giving them the same cultural heritage as Tamika.
Rhythm: Tamika is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.