How popular is Bich? Bich is an uncommonly occurring first name for females but a somewhat prominent surname for both adults and children (#113519 out of 150436, Top 75%).(2000 U.S. Census). Shown below is the baby name popularity of Bich for girls.ow popular is Bich? Bich is an uncommonly occurring first name for females but a somewhat prominent surname for both adults and children (#113519 out of 150436, Top 75%).