Near Hongdae there are indeed many delicious options worth trying. This area is not only a famous gathering place for art and youth culture in Seoul, but also a truly "food treasure district". From street snacks to specialty restaurants, from budget-friendly fast food to exquisite cuisine, there is a wide variety of choices with diverse styles, fully meeting the needs of different tastes and budgets. 
For instance, in the area around the main entrance of Hongik University, there are always a large number of popular food stalls and trendy cafes. Classic Korean fast foods such as grilled rice cakes, spicy fried chicken feet, Korean-style fried chicken, cheese hot dogs, and seaweed rice rolls can be seen everywhere. Many stalls also incorporate creative elements, such as black sugar cream fried chicken, lava cheese rice cakes, and matcha red bean crepes. They retain the traditional flavor while being innovative. Walking towards Hyeonggi direction to "Hyeonggi Alley", there are many hidden yet highly-rated family-style restaurants that specialize in Korean home-cooked dishes, such as marinated crabs, braised beef ribs, kimchi stew, and stone pot rice bowls. The ingredients are fresh and the portions are substantial, and they are highly favored by local students and office workers. 
In addition, Hongda has also gathered many restaurants that blend local cuisine with international flavors: Japanese izakaya, Vietnamese noodle shops, Italian artisanal pizza parlors, American burger bars, etc. While maintaining the authentic cooking methods, they have also made moderate adjustments to suit the tastes of the Korean people. Some restaurants even have open kitchens or retro industrial-style decorations, providing a dining experience that combines visual and gustatory pleasures. 
It is worth noting that Hongda Night Market (usually held on Friday to Sunday evenings) is a paradise for food lovers - dozens of mobile food trucks are lined up in a row, offering a wide range of choices from desserts, beverages to main courses. There are also street performers on the spot, creating a relaxed and lively atmosphere. If you have enough time, it is recommended to go there in the evening, while strolling and enjoying the food, which will allow you to better experience the unique vitality and hustle and bustle of this area. 
In summary, whether you are a student seeking convenience and speed, a traveler fond of exploring niche flavors, or a visitor looking to experience authentic Korean life, there is a delicious taste that meets your expectations in the surrounding areas of Hongda.