For those wondering,

double triple - six patties
bossy - all beef
deluxe - with everything (lettuce, onions, tomato, etc)
on a raft - on toast
4x4 - 4 patty by 4 cheese, so (6x4) 24 patties and 24 slices of cheese
animal-style - cooked in mustard
extra shingles - extra toast
with a shimmy - jelly on the toast
and a squeeze - orange juice on the side
light axle grease - with butter
make it cry - extra onions
burn it - well done
let it swim - extra sauce

You forgot the orange juice on the side

the only valid addition to this post

IM CRYING

Just gonna ignore that the picture as been edited to say Ass instead of pizza