As of my last knowledge update in January 2022, several universities in Bangladesh offer programs in graphic design. Some of the notable ones include:

1. University of Dhaka: The Faculty of Fine Arts at the University of Dhaka offers a Bachelor of Fine Arts (BFA) program with a specialization in Graphic Design.
2. Bangladesh University of Professionals (BUP): BUP offers a Bachelor of Fine Arts (BFA) program with a specialization in Graphic Design.
3. Jahangirnagar University: The Department of Fine Arts at Jahangirnagar University offers a Bachelor of Fine Arts (BFA) program which includes a specialization in Graphic Design.
4. Shanto-Mariam University of Creative Technology (SMUCT): SMUCT offers various design-related programs, including Bachelor of Fine Arts (BFA) with a specialization in Graphic Design.
5. National Institute of Design (NID), Bangladesh: This is a specialized institution focused on design education. It offers various design-related programs, including graphic design.