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1) General subject: belittle, decry (чего-либо), detract, disparage, down-grade, humble, micrify, minish, sully, vilipend (значение), make light of, debase, understate, denigrate

2) Colloquial: diminish (it's not right to diminish his efforts), talk down to

3) Rare: vilify

4) Australian slang: throw off at

5) Diplomatic term: downgrade, play down

6) Jargon: knock down

7) Makarov: make light of (smth.) (заслуги и т.п.), cry down, make light of (заслуги и т. п.)

8) Phraseological unit: cut down