We present stretchable amorphous indium-gallium-zinc-oxide (a-IGZO) thin-film transistors (TFTs) transferred onto styrene ethylene/butylene styrene (SEBS) thermoplastic elastomer. The fabricated stretchable oxide TFT showed electrical properties even after 40% strain without mechanical and electrical degradations. This stiff island on the stretchable substrate was demonstrated to enable for stretchable electronics.