1. Royal Academy of Dramatic Art (RADA), London, United Kingdom: RADA is recognized as one of the foremost drama schools in the world, producing notable actors, directors, and stagecraft professionals.
2. Yale School of Drama, Connecticut, United States: Known for its prestigious MFA program in acting, directing, design, and other theatre disciplines.
3. Juilliard School, New York City, United States: Offers undergraduate and graduate degree programs in drama, including acting, directing, and playwriting.
4. New York University's Tisch School of the Arts (NYU Tisch), New York City, United States: Provides various BFA and MFA programs in acting, design, film, and theatre production.
5. Guildhall School of Music and Drama, London, United Kingdom: Renowned for its acting, music, and technical theatre programs.
6. University of California, Los Angeles (UCLA), School of Theater, Film, and Television, Los Angeles, United States: Known for its strong programs in acting, directing, design, and theatre studies.
7. Harvard University, American Repertory Theater (A.R.T.), Cambridge, Massachusetts, United States: Offers graduate degrees in acting, directing, dramaturgy, and design.
8. London College of Music and Media (LCM), London, United Kingdom: Has a reputation for its musical theatre, acting, and performance-based courses.
9. California Institute of the Arts (CalArts), Valencia, California, United States: Renowned for its interdisciplinary approach to performing arts, including theatre.
10. Moscow Art Theatre School, Moscow, Russia: Has a rich history and focuses on the Stanislavski System of acting.
11. National Institute of Dramatic Art (NIDA), Kensington, Australia: Recognized as a leading drama school in Australia, offering training in acting, directing, design, and production.
While these are highly regarded examples, the "best" speech and drama college ultimately depends on an individual's specific interests, aspirations, and fit. Other notable colleges and universities might also have excellent performing arts programs, each with their unique approaches and specializations.