Neelima sits next to 3 phonetic neighbors — Neela, Nilima, and Nalini are the closest matches by sound. Most share Neelima's Indian-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"Blue; the color of sky and ocean"
"do not"
"wise protector"
"palm tree, date palm"
"little redhead, little red one"
"Joyful meadow; combination of Jay and Lee"
"natural beauty, freedom"
"Brave, strong waterfall; combination of Andi and Lynn"
"who is like God (via Michelle)"
Similar sound: These names share phonetic patterns with Neelima — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Sanskrit origins, giving them the same cultural heritage as Neelima.
Rhythm: Neelima is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.