Woody Woodpecker: "Pantry Panic" (1941)
I remember this one well--first thing I noticed as a kid was that Woody looked different. (He was redesigned later.) It has some creepy elements too: serious, even bleak topics weren't shunned in these old cartoons.
From Wikipedia:
Woody stays behind to swim while the other birds in the forest migrate south for the winter. Just after the other birds leave, the cold of winter sets in instantly, to the point that Woody's swimming hole freezes solid after he jumps in ("Must be hard water", he remarks). Woody does not worry, because he has stored up plenty of food. However, a snow storm enters his house and makes off with all of his possessions, food included.
Two weeks later, Woody is delusional and literally staring starvation, personified as something vaguely resembling the Grim Reaper, in the face. A month later, a hungry cat happens upon Woody's cabin, and conspires to eat the woodpecker. The famished Woody, however, plans just as quickly to eat the cat, and the two have at it. Eventually a moose appears at Woody's open door, and the starving cat and woodpecker chase after it to capture and eat it. Afterwards, however, the meal proves not to be enough to satisfy both Woody (whose voice is suddenly much different) and the cat, who instantly resume their game of trying to eat each other.
Directed by: Walter Lantz
Produced by: Walter Lantz
Story by: Ben Hardaway, L.E. Elliott
Voices by: Danny Webb, Sara Berner, Bernice Hansen, Jack Mercer, Pinto Colvig, Mel Blanc
Music by: Darrell Calker
Animated by: Walter Lantz
Artists: Alex Lovy, Lester Kline, LaVerne Harding (uncredited)
Studio: Walter Lantz Productions
Distributed by: Universal Pictures
Release date(s): November 24, 1941
Color process: Technicolor