As an international student in an English-medium school in South Asia who has scored 770 in the SAT English section, has received an A (94%) in the CIE English Language AS Level Exam, and received an A* in the EDEXCEL IGCSE English Language Exam, am I still required to show further proof of English Language proficiency?
That’s up to a college. Ask each college about its requirements.
TOEFL is required for most international students that are not native speaker, however, there are some ways to waive the requirement at some schools such as by reaching certain score in SAT or ACT English section score, or taking ESL classes, etc. The policy varies from school to school.