Here are some MHA-style hero names generated based on "Any quirk" and a "Heroic" style. The names attempt to capture a sense of heroism and leave the specific quirk open to interpretation:

Option 1 (Classic Hero Name): Luminary Knight

Option 2 (More Modern/Catchy): Radiant Guard

Option 3 (Emphasizing Strength): Titanheart

Option 4 (Mysterious & Intriguing): Shadow Sentinel

Option 5 (Emphasizing Speed/Agility): Velocity Flash

Option 6 (Nature-Inspired): Evergreen Protector

Option 7 (Technological/Futuristic): Cyber Savior

Option 8 (Emphasizing Wisdom/Intelligence): Oracle's Shield

Option 9 (Simple & Powerful): True North

Option 10 (Unique & Evocative): Celestial Dawn

These names are designed to be adaptable to a wide range of quirks. The user can then flesh out the character's backstory and abilities to fit the chosen name. For example, "Luminary Knight" could be a hero with a light-based quirk, while "Titanheart" might possess immense strength. "Shadow Sentinel" could have a quirk related to shadows or stealth. The possibilities are numerous.