Here are burger restaurants (national and regional chains) known for especially diverse menus — creative burger builds plus non-burger options, good vegetarian/vegan/allergy choices, and lots of customizations:

• Shake Shack — burgers, chicken sandwiches, flat-top hot dogs, crinkle fries, shakes & frozen custard; vegetarian options (Veggie/Shroom) and breakfast/seasonal items at many locations. (places.singleplatform.com)

• Hopdoddy Burger Bar — handcrafted/creative burgers (including chicken and black‑bean options), bowls, salads, fries, gluten‑free buns and clearly labeled vegan items. Great for specialty toppings (goat cheese, avocado, spicy sauces). (hopdoddy.com)

• Bareburger — emphasis on organic/“better” ingredients with many protein choices (beef, bison, lamb, turkey, chicken), plant‑based patties, gluten‑free and vegan menu options and build‑your‑own flexibility. (hopdoddy.com)

• Red Robin — extensive menu beyond burgers (salads, entrees, appetizers, seafood, desserts), many burger styles and frequent seasonal/specialty additions; family‑friendly with lots of customization. (allrecipes.com)

• Smashburger / similar “smash” concepts — wide range of signature burgers with varied toppings, chicken sandwiches, salads and regional/seasonal specials (smash-style chains vary by market). (Representative menus vary by location.) (shakeshack.restaurants-info.com)

Quick tips

• If you want lots of non-burger choices (chicken, bowls, salads, vegan burgers, sides/desserts), look for terms like “build‑your‑own,” “plant‑based,” “gluten‑free buns,” or “seasonal” on a restaurant’s menu page. (hopdoddy.com)
• For local independent spots with adventurous menus, search “gourmet burger bar” + your city on maps or review sites — independents often offer the most unusual toppings and full menus.

If you tell me your city or ZIP code I’ll find highly rated nearby burger spots with big, diverse menus and show their specialties.