To create a logo that looks good in all kinds of different media, the best choice from the options provided would be:
Using well-defined, basic shapes
This choice is effective because basic shapes are versatile and maintain clarity when scaled down or used in different formats. They also translate well in black and white, which is crucial for applications like letterheads or small icons where color and detail might be lost. The other options (catch phrases, drop shadows, and complex color schemes) could complicate the logo's design and reduce its effectiveness in various formats.