Sesame-free and Soy-Free are on the menu, but the same kitchen also prepares what you avoid, so cross-contamination is possible. Tell staff what you react to, and ask how your dish is prepared before you order.
Shojin is a Japanese restaurant in the Culver City area that says its whole menu is 100% plant-based and all gluten-free, made from scratch with organic ingredients when possible. Its menu tags soy-free, sesame-free, onion-free and garlic-free dishes and lists nuts in desserts. Ask the staff about your allergies, they have the final word.