Squat, deadlift, bench, and row seem to be the common ingredients of any successful training plan. I'd also suggest that you add some
military press or
seated overhead press work for the shoulders.
Squatting = bigger legs, more GH released so your whole body grows.
Deadlifting = bigger legs, stronger legs, big traps, more GH releases so your whole body grows.
Bench = bigger chest, some anterior delt work
Row = wide back, bigger traps, some rear delt work
Hence the need for overhead presses for overall delt development and balanced appearance. Don't want to go making everything big and have narrow shoulders to go with it.
All of these are good "core" exercises and work the abs to some extent. If you want the abs to grow too, add some crunches.
I can't comment on the clean and press other than to say it's a nice way to get the bar up to put it on your shoulders for squatting if you don't have a rack - until your squat gets bigger than what you can put over your head.