alert
to go on full alert

bender
to go on a bender

binge
to go on a binge / to have a binge

cruise
to go on a cruise

crutch
to go on crutches

cycling
to go on a cycling holiday

diet
to go on a diet

dot
to dot and go on

errand
...to go on errands for somebody / to run errands for somebody

four
...to go on all fours / to move on all fours

fuddle
to go on the fuddle

go on
to go on to another matter

hike
to go on a hike

hunger
(to go on a) hunger strike

journey
to go on a journey / to make a journey

knee
to go on one's knees

parish
to go on the parish

patrol
to go on patrol

pilgrimage
to go on (a) pilgrimage

prowl
to go on the prowl

racket
to go on the racket

reconnaissance
to go on a reconnaissance

safari
to go on a safari

scout
to go on the scout

shank
...to go on Shanks's mare / to

shore
to go on shore

spree
to go on the spree

tick
to go on tick

voyage
to go on a (sea) voyage to

wagon
to be the wagon / to go on the wagon