You don't state where you live or if the container will be indoors or outdoors or outdoors, good drainage, etc. which can affect the herbs.

However, off hand, I would suggest Corsican mint and some of the creeper thymes, i.e. elfin, red-flowered, pink chintz, coconut, caraway, and Annie Hall to name just a few.

Thanks. I am in zone 5/6 and can keep them in or out in full sun either way. I mostly want them for my kitchen windowsill for fragrance/decoration.

Does Chervil have the same deep taproot that similar-looking herbs (like cilantro) have?

Thanks again!

A depth of 2 inches really doesn't give you enough room for any of the culinary herbs - taproots or not. You'd be better off using small but deep pots than bonsai trays.

True, but I grow the herbs that I mentioned above, and I have found them to have a very shallow root structure. That's why I only mentioned the mint and thymes mentioned above.

You could try Greek bush basil, though two inches is very shallow indeed.

I have Rosemary, Thyme and Pomegranate in 2.5 inches containers growing in a afternoon sun location.
Needless to say they require watering twice dairy.

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Ankrara's Hobby Corner

My sage, mint and thyme are doing very well in the kitchen window. I also have dill. What's important is watering often if they are in small pots.