This isn't by importance or degree of use, but more, what I'm impressed with and more ancillary accessories. Lighter not included because you need fire, necessary accessory, but a super nice fire source is nice, and then my IM Corona would be number 1 and my cheap Czech tool on the list too. These are more like "I'm really glad I got that".
Beyond the typical favorites (lighter, tamper, pipe cleaners), and in no particular order:
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Shank/tenon/stem brushes:
Mine are from Neerup, but several make them, those ones that are reusable metal and nylon. I want to get some for mortise and chamber. But when I deep clean stems once in a blue moon, these brushes are awesome... all scrub, no fluff.
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Peterson Avoca 3 Pipe Combo Bag:
This bag just feels nice, and I don't care about the pouch or accessories with it one way or the other, I like it because it's well constructed, I like how securely it holds my pipes, and it's been a real boon to have when taking trips.
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Leather tobacco mat:
I know a paper plate, a sheet of paper, or even regular plate is good enough for others, but I like the mat, it rolls up nicely to fit in a bag for taking trips, so I have a place to rub out flakes and stuff. It's also nice filling the pipe on the mat ant the mat catches anything that misses, easily folds in half to dump the excess tobacco back into its container. And unlike a sheet of paper, I don't have to worry about the air conditioner blowing it off the table.
That's all I got, rest of the pipe accessories I have just aren't that impressive to me. The only other accessory I kind of want that might end up on the list, is a collapsible/portable pipe stand—I just keep forgetting to put one in my cart whenever I am ordering other stuff.