Has anyone come across wires/cables that are different than regular stranded wires?

What I am more interested in is something that is thin maybe around 24 awg and not just flexible but something elastic/stretchable. High abrasion resistance is good too!

Im also looking for low profile interconnects that secure wires to motors or small circuit boards. Something that is compact and wont break under twisting and pulling because just soldering the wires to boards keep breaking off!

any links or companies are a great help!
thanks