The only "unconventional" tool I use much at all, and I'm not totally sure it's unconventional, is what looks like a cross between a wooden kebab skewer (only smoother) and a chopstick (only thinner).
Not sure where I got it but it is very useful for poking out curves and corners in a turned item like an ornament or a pillow; and it also comes in handy when stuffing said items (pokes the polyfill into small corners and spaces where my fingers can't reach)!
It also gets used to hold down paper items when I am heating them with my embossing gun (which tends to blow things around otherwise). It doesn't heat up and it saves my fingers from being scorched.
The only unusual thing that I use is needle nosed tweezers. They are the kind that are used in surgery bit I find them really useful in removing cat hat from a design, one hair at a time, or moving threads around when there is very little space. They are also useful as a trolly needle for enlarging a hole so a thread could pass through easily,
In the hospital I could fix almost anything with a pair of Kelly forceps and nursing scissors!