(and yes, I've seen at least one of everything I'm naming)

1920s:
Alice Comedies (Disney, 1923-1927)

1930s:
Talkartoons (Fleischer, 1930-1932)
Screen Songs: With the Famous Bouncing Ball (Fleischer, 1924-1938)
(pre-Porky Pig) Looney Tunes & Merrie Melodies (Schlesinger/Warner Bros., 1930-1935...more recognizble ones made between 1936-1969)
Rainbow Parades (Van Buren, 1934-1936)
Felix the Cat Color Specials (Van Buren, 1936)
Comicolor (Iwerks, 1933-1936)

1940s:
Andy Panda (Lantz, 1940-1949)
Early, crazy, violent-ass, pre-1954 Woody Woodpecker (Lantz, 1940-1954...more recognizable cartoons made from 1955-1972)
Superman (Fleischer/Famous, 1941-1943)
Little Lulu (Famous, 1943-1948)
Little Audrey (Famous, 1948-1959)
Herman & Katnip (Famous, 1943-1959)
Figaro (Disney, 1943-1946)
Screen Songs (Famous, 1946-1952)
George Pal's Puppetoons (Pal, 1943-1950)

1950s:
Jolly Frolics (UPA, 1949-1955)
Loopy DeLoop (Hanna-Barbera, 1959-1964)

...and I haven't even gotten to TV cartoons...yet...