this solution will also earn two other achievements:
NEW SOLUTION: you can download levels that are no longer available in-game by going to the following website: https://infinity.disney.com/toybox/hub
(thanks to b0seiju for this info!)
you can either have items or characters with the needed abilities unlocked on the 360 version (or bought on the win8 game), or you can use items found in the downloaded community levels by going to Toy Box Share, and Disney's Toy Boxes in the menu.
Car & Mount: download - WOODY'S ROUNDUP (https://infinity.disney.com/toybox/ae59411bd0a74a2599dcd06c8...
) go through the stone archway behind you past the general store to get a horse, back to where you started, go straight ahead a bit and you will see a wagon and some triggers you can step on a little further and to the right. the left one creates one goo gun and the right creates the other size. make one and shoot your vehicle and mount and ride them. i had to reload the level since it wouldn't spawn both guns for me.
Helicopter: download - WRESTLING ARENA (https://infinity.disney.com/toybox/30683758e8964d0d9a0088c19...
) run straight into the arena and you will find the green big goo pad ahead of you, go around the side of the ring to find the purple small goo pad, and a helicopter atop a tall platform. you can wall jump to the top and ride the helicopter onto the pad to change its size.
360 - i had archie the scare pig and the incredibles car and helicopter all unlocked from playing the three levels that came with the game. if you unlock the goo guns or goo pads you can easily set this achievement up in your own toy box.
how to unlock items in the 360 game: step on the yellow vault icon on the disney infinity base and shuffle the items until you see what you need as one of the 16 items. to guarantee getting the items you want you can save 16 spins to use at once. also you can try to get more than one desired item showing at a time to maximize your spins.