So pleased to see this topic! Keep the responses coming, please.
What Indian or Asian or other cuisine's vegetables and herbs have members grown themselves? I've only gone as far as tomatillos (easy & abundant) and poblano chiles, also easy and worth growing especially because they freeze well after roasting. Oh, and about a decade ago I grew a fairly anise-y tasting plant sold as "Mexican oregano" by a local greenhouse but without a botanical name. The leaves were tasty in Mexican dishes calling for oregano, but the seller's no longer in business and I've never been really sure that was authentic.
I'd like to try growing epazote, which is reputedly beyond easy, to the point of weediness (needs deadheading to avoid too much self-seeding). You only need a few sprigs at a time, mostly for black beans.
The 'Lemon Drop' chile a friend grows & made delicious preserves with is one I'd like to grow; it's a close relative of the Peruvian aji amarillo, another on my 'someday' list. She gets many of her veg seeds through Baker Creek Heirloom Seeds, and I think the Lemon Drop pepper came from there.