I've known children named
Anjali (though she wasn't Indian) and
Nila.
Lilavati is pretty.
Some other children I've met:
AditiArjunArundhatiChandra- this was actually a yoga instructor, not a child. She wasn't Indian, but this was her real name, not one she chose.
Isha- she was a girl, though.
Manroop
SanjanaShreyaVeyd
Vikram
Others I like. For most of these, I just looked through the Indian tag on this site, but others I've liked for a while.
AvaniIndiraKamalaKashi- too bad about the food brand, though.
KaveriLavanyaLilaMiraNaveenParvatiRoshanSunita