The two most useful items for the actual puzzles are the wings and the grappling hook.
Large hadron collider was pretty cool.
Boomstick, ceiling cat, keyboard cat, mind control device (makes everyone you shoot love you, usually lets you ride them too), mechanoid, robe + laser sword for Jedi roleplay, athiest + god, attach three balloons to a hovertank to make it fly, you can attatch cannons and guns to pretty much any vehicle (and creature) to shoot while driving.
I don't want to spoil too much though. Part of the fun is throwing shit against the wall and seeing what sticks.