I always manage to forget which one goes with which
Let me give it a shot (may not be full of details - but that’s how I remember lol):
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Classical: no business cycles only temporary disequilibria, change in AD is caused by change in technology => we dont need to do anything, the economy will auto adjust itself
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Keynesian: business cycles are caused by expections: Underproducing when over-pessimistic and overproducing when over-optimistic. Wages input is downward-sticky, meaning it will take sometimes for businesses to re-act to changes in AD. => We need government intervention
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New Keynesian: same as above + other inputs prices are also rigid
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Monetarists: business cycles are caused by external shocks and inappropriate policies from monetary authorities. => We need to keep the money supply grows at a stable rate and predictable
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Australian: business cycles are caused by government intervention. For ex, interest rate is reduced, businesses invest alot and those investments perform poorly => the whole economy contracts
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New Classical: now recognize business cycles and incorporate utility theory in micro into them. Basically, they say that business cycles are caused by external shocks and change in technology (not monetary variables). They are efficient market responses so we don’t need to do anything (no gov. interventions)
Do one thing only remeber the differences between thoughts. And try to remember who has developed the real theory.