exit, leave, go out, come out, put out, protrude
出 centers on the idea of moving outward or making something visible: exiting, leaving, going out, coming out, putting out, or protruding.
to be able to do; to be possible; to be permitted (to do)
coming out; going out; outflow; efflux; rising (of the Sun or the Moon)
occurrence; happening; taking place
workmanship; craftsmanship; execution; finish
dashi; Japanese soup stock made from fish and kelp
to leave; to exit; to go out; to come out; to get out
to take out; to get out
appearance (in a film, play, TV show, etc.); performance
meeting; rendezvous; encounter
one's origin (e.g. city, country, parentage, school)
publication
memories; recollections; reminiscence
direction (of a play, film, etc.); production
presentation (of documents); submission (of an application, report, etc.); production (e.g. of evidence); introduction (e.g. of a bill); filing; turning in
appearance; emergence; advent; arrival; showing up; coming to existence
departure; leaving; setting off
occurrence; happening; incident; event
to recall; to remember; to recollect
participation (in a tournament, match, race, etc.); entry; taking part (in); competing (in); appearance
output (electrical, signal, etc.)
escape; getting away (from); getting out (of)
outflow; effluence; efflux; spillage; spill; discharge; haemorrhage; hemorrhage; bleeding (e.g. of ink into paper)
going out; outing; leaving (one's home, office, etc.)
attendance; presence; appearance
出 is thought to depict a foot stepping out of an enclosure, representing the act of exiting or emerging.
The top 屮 looks like a sprout pushing upward, and the bottom 凵 is like a container. Picture a plant sprouting out of a pot: 出 is something coming out.
For シュツ, imagine a shoe stuck in the exit door: shoe -> シュ, and the shoe is trying to get out. The shoe scene helps recall シュツ.