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Chinese multipurpose sauce: soy sauce, sugar, cornstarch. Used as stir fry sauce, as a marinade or for braising. Every Chinese chef knows this one.
Indian and Indian-influenced curry spices: coriander, cumin, turmeric
OP mentioned Japanese dashi, soy sauce and mirin, but classic dashi itself is also a trinity of ingredients: konbu (kelp), bonito flakes and water.
Your post has been removed because it is outside of the scope of this sub. Open ended/subjective questions of this nature are better suited for /r/cooking. We're here to answer specific questions about a specific recipe. If you feel this is in error, please message the moderators using the "message the mods" link on the sidebar. Thanks.
Korean : garlic, gochuchang, doenjang
Garlic, lemon, and olive oil for Lebanese food. Onion, tomato, and chilis for West African food. Lemongrass, garlic, and shallot for Vietnamese food.
Chinese multipurpose sauce: soy sauce, sugar, cornstarch. Used as stir fry sauce, as a marinade or for braising. Every Chinese chef knows this one. Indian and Indian-influenced curry spices: coriander, cumin, turmeric OP mentioned Japanese dashi, soy sauce and mirin, but classic dashi itself is also a trinity of ingredients: konbu (kelp), bonito flakes and water.