Do I have to have amazing artistic abilities to do 2D art? I do everything else in Game Development but stayed away from art because I've always sucked at it, but figure the least I can do is try. I want to do cartoon style stuff (in the style of The Simpsons and Family Guy), I just don't know where to start in learning.

Quote: Do I have to have amazing artistic abilities to do 2D art?

No, try reading Creating Good Game Art When Your Not An Artist.

Quote: I want to do cartoon style stuff (in the style of The Simpsons and Family Guy), I just don't know where to start in learning.

Pick up a pencil/pen (or paint program) and start drawing in the style of your choice, and practice, practice, practice! You could also study other peoples work to see how they did it, or read tutorials/books. There's also visiting more Art oriented sites like those in my signature for more helpful critiquing, advice, and resources.

When in comes to flat, 2D artwork, especially 'cartoon'-like artwork, its seemingly easier to learn. The most important thing, and probably the most obvious, is to maintain the mental concept of your design throughout the entire project. Then even when you find yourself stuck, be flexible with your creativity. The biggest limitation to your artistic ability is your lack of confidence in the subject. Feel free to learn from other artwork that you like, but don't focus on trying to 'draw like that'. Instead, develop your own, unique style. The outcome will be much better. Plus, with concept art, don't ALWAYS try to perfect your image in the first draft. It'll waste alot of time, and you will eventually stress yourself out, potentially ruining key concepts. Relax, and have fun with it. Even if you don't have natural talent, you can still learn. Also, if it helps, try using basic shapes and professional tools (such as rulers and compasses) to map out the design, drawing lightly so that you can Re-draw the true concept over the structure; for instance you can get a better idea of height, body size, the length s of arms and legs, placement of facial features, and whatever else may or may not be apart of it. Remember that cartoons really don't have any 'rules' that apply to them, you can exaggerate whatever to whatever extent. I've been drawing my whole life and I'm still learning! You'll get it! =)