Rising diversity through novel forms of mobility and increasing connectivity through intelligent systems and wireless connection is leading to a complex traffic environment. However, traditional automotive interface research often focuses on the interaction between vehicle and driver, passenger, or pedestrian, not capturing the interconnected relationships among various traffic participants. Therefore, we developed a design space for Cross-Traffic Interaction (CTI) based on a focus group with six HCI experts, encompassing the dimensions: (1) interaction partners, (2) their traffic situations, and (3) their interaction relationship. Through a systematic literature review, we classified 116 publications, showing less-studied interaction possibilities. Illustrating the practical application of our design space, we developed three interactive prototypical applications: Shooting Stars, Flow Rider, and Road Reels. A study (N=12) shows that the applications were received well and could improve traffic experience. Overall, our design space serves as a foundational tool for understanding and exploring the challenges and diverse opportunities within CTI, bridging the gap between traditional automotive interface research and the complex realities of modern traffic environments.