Space Jam: A New Legacy is a movie in current release that combines live action and cartoon animation. Here are some landmark examples in the history of these technical films.
The Enchanted Drawing (1900): J. Stuart Blackton's film begins with a man drawing a face, a bottle of wine and a glass on an easel. He takes the bottle and glass off, pours himself a drink, and gives one to the cartoon face, which smiles ... and there's more.
Gertie the Dinosaur (1914): Animator Windsor McKay used the first version of this film in a vaudeville act in which he interacted with the onscreen Gertie - telling her to bow and raise her foot, scolding her (she cried) and getting her to take him for a ride (he exited and then appeared on screen). Later movie-only versions incorporated live action and intertitles.
Alice comedies (1923-27): This was a series of short silent films, created by Walt Disney, in which a live-action girl had adventures in an animated world. It began with Alice's Wonderland (1923) and ended with Alice in the Big League (1927). Alice was played by multiple young actresses. Some of the films are lost.
Anchors Aweigh (1945): Gene Kelly dances with Jerry the Mouse (who, in an impressive bit of detail, has his own moving reflection on the floor) in this enjoyable MGM musical.
Forbidden Planet (1956): Instead of cel animation, the drawings of the ID Monster were photographed on high-contrast motion picture film in reverse so that the black lines against white paper would come out as white lines against a black background, which were coloured and superimposed over the live action.
Mary Poppins (1964): The Disney adaptation of P.L. Travers' stories about a magical nanny had an extended live-action/animated sequence. It used a sodium vapour process that created crisper, more accurate matte images.
Who Framed Roger Rabbit? (1988): In the pre-CGI era, this film used then-current techniques such as cel animation and optical printing with an unpredecented degree of sophistication - the animated characters seem to have real depth and interact convincingly with the humans.