Do you mean invasive, as in taking over the area? Mints are invasive--best to plant them in a pot, or if in the ground, cut the bottom out of a large pot and sink it in the ground, leaving a 2" to 3" rim above ground, and plant the mints in that. Russian tarragon is invasive--use the same sunken pot method as for mints if it is planted in the ground. Oregano and marjoram will spread, but are not invasive. Dill self-seeds easily, but again, you can just transplant or pull up the seedlings--not a problem.
One good thing about having too many herb plants--they are a hit with your neighbors as a swap plant!

What you mean to say is "invasive", not "evasive". I find that Chives can be difficult to keep in a small area when it's happy, although it moves a bit slower than the mints. That's the only one that comes to mind right now. Hopefully others will post more.

I do mean invasive. Apparently I can't spell. To bad spell check did not catch that one. Whoops. Sorry.

No apology needed! Actually, it was kind of amusing because some herbs can be "evasive." There are some herbs that I've tried to grow too many times and yet they continue to evade my attempts to have them happily grow in my garden! :)

I find that herbs that grow and spread via their root system or stolons tend to be the more aggressive spreaders and the more difficult ones to eradicate, should that be desired. Those that spread via self-seeding, like chives, are generally not as difficult. Mints use stolons. Some like comfrey and horseradish can regrow from tiny root fragments. Some herbs can get rather largish and can fall into the "taking over" category as well.

I find with regular tending, most herbs are controllable but research the specific herbs you are interested in. Get a good book, there are oodles on growing herbs, and refer to it often for planning, care, and harvesting. Or ask about specific herbs you are interested in to get more specific information.

FataMorgana

Rosemary isn't invasive per sé, but can grow rather large and take over an area if not heavily pruned.

It's not truly "invasive," but basil self-seeds SO vigorously that you may find yourself pulling up baby basil plants all over the garden. (I couldn't bring myself to do that last year, and the basil was EVERYWHERE.) The up side of having to do that is that baby basil is YUMMY in salads...

Just to be clear for the original poster, the "invasiveness" of different plants varies widely with your growing conditions, climates, and soils. For example, I've never had basil self-sow. I suspect the winters and springs here are too cold and wet for the seed. But the previous poster saw different results...he's in Georgia and I'm in New York. Big difference in zones, conditions, and soils. Also a big difference in what the plants do in our gardens.

If you search back through old posts in this forum you will see many more "invasive" discussions which may provide further insight.

FataMorgana