>>149277082 (OP)To do it properly: get a fuckload of money and start up a traditional cel animation company
Many of these cartoons weren't particularly high budget, but they still required a team of people to make, and the technology to do cel animation is antiquated today therefore more expensive.
More realistically: learn digital animation and create limited-animations/animatics like you see from people on youtube.
The actual content of the cartoon is a much more complicated question. The style of humour, the voice acting, the type of stories, the art style.
Look at those cartoons, break them down, analyse every part of them to understand how it works.
How are the backgrounds painted, what frames per second is it animated on, what colours do they use, what techniques do they use to animate explosions, water, crying, etc, do they follow a 3-act structure, what other kind of writing techniques are used.
90% of the cartoon is essentially formulaic, done in the industry standard method of its day and is no different from one cartoon to another, you can copy this.
The remaining 10% is creativity and originality, you're on your own there