I’m sorry, I hope you are able to find an Asian store nearby but I imagine some parts of the country don’t. Amazon has a brand I recognize but you have to buy a 5 pack. https://www.amazon.com/Golden-Curry-Sauce-Medium-8-4-Ounce/dp/B00VEJCJSC/ref=sr_1_5?dchild=1&keywords=Japanese%2Bcurry&qid=1601441160&sr=8-5&th=1
I legit just played the "What's vegan in HMart" game.
None of the in house Kimchi was vegan (all fish sauce), but there were some seasoned/pickled radishes that didn't have fish sauce, so it's still worth looking through that section! Maybe also look at the packaged (like, mass packaged, not store packed) kimchi ingredients, there's a decent chance that some will be vegan.
As said, Lao Gan Ma chili crisp is one of those things where you can just have it and a bowl of rice and be really happy (malnourished, but happy). It's not spicy, but it is delicious, bunch of fried alliums, chilis and fermented beans in oil.
Similarly, look through the Chinese section for pickled veg.
If you want to mess around with Korean ingredients: Gochujang is one of those ubiquitous ingredients that you can use for just about anything. It's sweet/savory/spicy, serves as a good base for sauces, glazes, whatever. You can buy nice little tubs of it (or giant industrial tubs of it).
Since you're vegetarian and not vegan: Kewpie mayo. It's just mayo w/ MSG in it, it's amazing.
They also have Japanese curry which I'm a huge fan of. Personally, I like S&B Golden Curry extra hot (it's not that hot), but all the other options are also good. You're looking for the boxes like this. Just roast up some veg (they say stir fry/boil, I disagree) and mix that into the sauce, serve over rice, be happy. Experiment w/ the different brands/flavors, people like different ones. I know Golden is vegetarian, but do check the ingredients of the others.
Ha, I actually just mentioned this in another comment.
Have you tried those Japanese curry bricks? Similar sort of thing, though you need to also add some water. I prefer to use the Golden Curry Medium Hot and add a pound of one of chicken/pork/beef, a couple of tomatoes, a potato, a large onion, a carrot or two, some minced garlic, and a couple of serrano peppers.
Depending on what you mean by entry level, you have a couple options.
The most basic curry I do is actually a Japanese curry using one of those curry bricks. I use the Golden Curry Medium Hot and add in whatever meat (chicken/pork/beef), tomato, onion, carrot, potato, garlic, and serrano (to help it have a bit more heat). While homemade curry from scratch is better, honestly this does a pretty bang up job all things considered. We always keep some of the curry bricks at home for days when we don't really want to bother cooking. Actually we made some yesterday and for brunch had the leftovers poured over some omelettes.
If you want to actually go through with making an Indian curry all on your own, a good option is doing butter chicken. There are loads of recipes you can look at, some more involved with more ingredients you might not have than others.
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Tis the season for curry. Sharing for the rest of the dawgs. Look up Japanese curry recipes, and cop some of this. Very easy, weeknight dinner. Then for Thai curry, get this brand, which ever flavor you prefer, and this can whip up some awesome Thai curry very easily as well.
What country. S&B Golden Curry Sauce Mix, Medium Hot, 8.4-Ounce (Pack of 5) https://www.amazon.com/dp/B00VEJCJSC/ref=cm_sw_r_cp_api_shFaAbJ9TBGQG