Model minority is a term often used in reference to Asian Americans because so many members of that group have been high-achieving and highly productive citizens. Some Asian Americans resent the term because they find it a kind of confining stereotype. For a good fictional treatment of Asians as a "model" minority, see Amy Tan's novel The Joy Luck Club.
Racial profiling refers to the practice of paying special attention to members of particular ethnic groups when prosecuting crimes or looking for possible criminal behavior.
Yellow peril was a term used by opponents, in the United States, of immigration from Asia; the term was especially common in the early twentieth century.