It is difficult for me to provide a comprehensive list of companies that offer internships to IIAD (International Institute of Art and Design) students, as I am a language model and do not have access to information about specific companies or their internship programs. However, many companies offer internships to college students, including those studying art and design, so you may be able to find opportunities at companies in a variety of industries. Some companies may have specific internship programs for art and design students, while others may consider applications from students with a background in art and design on a case-by-case basis. You can try contacting companies directly to inquire about internship opportunities, or you can check with your school's career center or placement office for information on available internships. You may also be able to find internships through online job boards or by networking with professionals in your field.