(1) Background: This study investigates the impact of social vulnerability, as quantified by the Social Vulnerability Index (SVI), on animal shelter intakes and adoptions, and the flow of animals between SVI groups at seven shelters within the United States. Understanding how social vulnerability influences these factors is crucial for developing targeted interventions to improve shelter outcomes and community support programs. (2) Methods: The research analyzed intake and adoption data from multiple animal shelters to assess the relationship between the social vulnerability at intake and adoption locations based on Census Tract obtained from addresses, focusing on comparison across strays, seized animals, and owner surrenders. Effect sizes were calculated to determine the magnitude and practical implications of these relationships. The study also examined the distribution of outcomes and reasons for animal surrender in relation to SVI levels. (3) Results: The analysis found that animals tended to enter shelters from areas of higher vulnerability while being adopted out to homes from all levels of vulnerability. Stray animals and those seized by authorities were more likely to come from high-SVI areas and showed a stronger disparity between intake and adoption SVI levels than owner surrenders. Racial/ethnic minority status and socioeconomic status were the components of the SVI that produced the strongest differences between intake and adoption vulnerability levels. Adoptions, however, were evenly distributed across different SVI levels, suggesting equitable access to adoption services. The study also identified that animals from high-SVI areas were not euthanized at higher rates compared to those from lower-SVI areas. (4) Conclusions: The findings highlight the need for further investigation into the high numbers of stray adult dogs in areas of communities that are most socially vulnerable as well as programs to address the volume of young animals originating from these areas. The equitable distribution of adoptions across SVI levels suggests that shelters are effectively engaging with socioeconomically and racially/ethnically diverse communities. Future research should focus on exploring the dynamics of stray animal intakes and enforcement patterns to enhance community and animal welfare initiatives.