I do not have any speciality just whatever the locals nlmake that is good. I have coasters, table mats, wallet, T-shirt, key rings and mugs that I can recall. I rather practical items and not thongs that are just going to gather dust.
I dont really buy a lot of souvenirs when traveling. If I got something, it would just be something small that doesn't take up too much space. If the area has some kind of speciality like pottery, lace or hand made goods, I might get some thing small. I am certainly not interested in the corny knock knacks you get in souvenir shops.
I like the idea of getting something practical, not something that will sit in a corner and gather dust. We bought a handmade photo album when we went to Fiji - a t-shirt and coasters too. My husband went to China last year and brought back a traditional kettle from Kashgar. While it's gathering dust currently on the credenza, we do intend on using it.
Yes, I've taken to getting magnets. Small, light, easy to carry. And usually a heap of designs to choose from. I wish I'd gotten some from a lot of the places I went to when I first started travelling.
The girls started collecting key rings from every town and country we were in whilst overseas for 3 months in 1990. When we arrived my husband constructed a special board with hooks to hang them on. We wanted to throw them out some years ago but my youngest daughter and her 2 children had continued the "tradition" so they took possession of the boards (yes, it had grown to 2) and have another board and hang their collection as well. Nowadays I buy something that suits the person I'm buying for - could be ceramics or tea towels or key rings, or bookmarks.