Treating your stripes like a neutral is probably the easiest way to go about mixing prints. It's a combo I look to time and time again, when silhouettes are simple, and classic. If I was wearing this combo, blazer, shirt, and pencil skirt, in all neutrals, it would have been far too neutral and dated. Gotta keep things fun!
Blazer: Anthropologie. Shirt: Banana Republic. Skirt: Anthropologie. Shoes: Sam Edleman. Bag: Anthropologie.