I know a few descriptions, as best as I can word them:
DISNEY
Ben Sharpsteen - draws characters' mouths with an upward curve near the cheek
Ward Kimball - bouncy movement with emphasis on slow-in & slow-out, frequent wacky or cross-eyed expressions
Jack King - drew circular pie-cut eyes, put buttons on the soles of Mickey's shoes
Art Babbitt - earthbound movement, intricate leg movement
Frank Thomas - subtle, personality-based animation
Ollie Johnston - round cheeks, emphasis on emotion
Milt Kahl - intricate finger movement, broad poses with an proud head swag
Woolie Reitherman - broad action
Marc Davis - emphasis on form
Bill Tytla - taking natural, often muscular, movement and translating them into forms and personalities
John Sibley - comic action and exaggeration
Glen Keane - subtle personality animation, great shading
Eric Goldberg - similar to Kimball, with cartoony expressions and timing
WB
Bob McKimson - well-constructed and dimensional, subtle personality animation
Ken Harris - well-defined posing and acting
Gerry Chiniquy - fast timing and jerky poses, known for dance scenes
Lloyd Vaughan - frequently used smears for fast movement
MGM
Ed Love - small eyes, large and squishy cheeks
Irv Spence - Exaggerated movement and wild takes. His animation at WB is known for being rubbery.
Preston Blair - well-constructed forms and clear poses
HANNA-BARBERA
Carlo Vinci - theatrical poses, had fun with posing digits
George Nicholas - draws eye "takes" with tiny pupils