Founded in 1914, this organization predates almost every modern framework for addressing homelessness, which makes its current 4-star Charity Navigator rating more impressive rather than less — it's had to keep reinventing its approach for over a century, not just coast on being established.
The "24/7, no appointment" framing of their emergency services is a small detail that says a lot. Homelessness doesn't happen on a schedule, and a lot of well-meaning services quietly stop being useful outside business hours.