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I really like simple designs, because the get to the point. And so does yours.
I think that blue can't be changed for another one because it's on your logo. So, I'd suggest not to change it, but to apply to it a texture. For example: bold stripes with low opacity, dots, mosaics like the ones in the menu, etc... And try that doing so also improves the bulleted lines that are hard to read. They'll need also an enhancedment. Try adding a color background to each line (could be rounded) or to the entire list.
Try adding textures also to the gray areas too.
