El Hotel Electro, Segundo de Chomon, 1905

Le cauchemar de Fantoche, Emil Cohl, 1908

Wonders of the Deep, Paul Terry, 1923

Bobby Bumps and the Stork, Earl Hurd, 1916

The Artists Dream, J.R. Bray, 1913

Dreamy Dud: He Resolves Not To Smoke, Wallace Carlson, 1915

Le Squellette Joyeux (The Dancing Skeleton), Auguste and Louise Lumiere, 1895

I can't say as this is a strictly animated film, as it is, per se, and whatnot, but it does appear that there are elements of animation included. Also, this rules.

Mura Matsuri (Village festival) Noburo Ofuji, 1930

Chikara to Onna no Yo no Naka, Kenzo Masaoka, 1932

Kobu-Tori (The Stolen Lump), Chuzo Aochi. 1929

Delightful Japanese animation from 1929.

Tail of the Monkey, Walter Lantz, 1926

We're in the Money, Hugh Harman and Rudolf Ising,1933

Gertie the Dinosaur, Winsor McCay, 1914

I have been posting animation for two years. How I have managed to NOT post this one blows my mind.

Felix Revolts, Otto Mesmer, 1923

Ain't Nature Grand, Isadore Freleng, 1930

Oh What a Knight, Walt Disney, 1928

Le Roman de Renard (The Tale of the Fox) Ladislaw Starewicz, 1930

Here's a treat for you - the entirety of Ladislaw Starewicz's masterfully animated and very entertaining Le Roman de Renard. Enjoy.

The Peanut Vendor, Len Lye, 1933

New Zealand filmmaker Len Lye is best known for his pioneering work with abstract animation. This is what happened before that.

La Joie de Vivre , Anthony Gross and Hector Hoppin, 1934

Goofy Goat, Ted Eshbaugh, 1931

This cartoon was originally made in two color Technicolor, but no color print is known to exist.
Official Films offered 16mm B+W prints of it in the 40's and changed the name to 'Goofy Goat Antics'. - zootsmcgurn