I'm drunk as a skunk,

from LL Cool J (Ft. The-Dream) – Baby Lyrics on Rap Genius

Meaning

You’ve heard the expressions “stinking drunk” and “stinko” (“stinking” has been used in English to express disgust since the 15th century). No creature alive is stinkier than a skunk. Because “skunk” rhymes with “drunk,” the two words are a natural match. Besides this the skunk is a clumsy animal. If you have ever seen a skunk wander from one garbage can to another, you might think it was inebriated.
~S.D. Liddiard

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