Here is more solid drawing and direct animation, with no reliance on tricks by Bob McKimson.
Note how all the wrinkles wrap around the characters' forms, and in perspective when they tilt their heads.
McKimson animated the best death scenes. All very subtle, carefully drawn and animated stuff.
McKimson always said that the WB artists took their lead from Disney, but except for the good drawing, this is nothing like Disney. McKimson had his own way of animating that was just very direct and to the point.
http://www.cartoonthrills.org/blog/Clampett/45OldGrayHare/bugsdeath1short.mov
http://www.cartoonthrills.org/blog/Clampett/45OldGrayHare/bugsdeath1short.mov