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"
"hope"
"gift of God"
"rival, to emulate"
"the well-spoken one"
"calm, serene; of the valley"
"Judged; vindicated"
"Free one; from France"
"peaceful ruler (Dutch form from Ferdinand)"
"follower of Christ, anointed one"
"charm, allurement"
"grace; favor"
"to bind, to tie, to snare"
"gift of God (folk etymology)"
"Possibly related to sword or fire brand"
"fire, burning flame, passionate blaze"
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.