In a large pot over medium heat, heat olive oil. Add onion and cook, stirring occasionally, until softened, 8 to 10 minutes. Add garlic and ginger and cook, stirring, until fragrant and light golden, about 2 minutes.
Pour in broth. Add chicken, beans, cream cheese, green chiles, gochujang, oregano, cumin, 1 ¼ teaspoons salt, and a few grinds of pepper. Bring to a boil, then reduce heat to medium and simmer until chicken is tender and just cooked through, 10 to 12 minutes.
Transfer chicken to a plate and shred with 2 forks. Smash about one-quarter of beans in chili with the back of a spoon. Return shredded chicken to pot and add corn. Bring to a simmer and cook until chicken and corn are warmed through, 4 to 6 minutes. Remove from heat and stir in cilantro and sesame oil.
Ladle chili into bowls. Top with tortilla chips, sour cream, cheddar, kimchi, scallions, sesame seeds, and more cilantro.