As far as a list of all the schools in the country, if there is one it's probably not much help. It would take years to fully explore each and every nursing program. Most people decide how long they have to devote, how much tuition they can afford, and where geographically they want to live. Then, they narrow their choices to the half dozen or so schools that meet these criteria.
Something to consider is the expense of school and your probability of finding a job after graduation. It might seem like you won the lottery when you're accepted at some elite private school, but when you graduate with $130,000 in student loans and no one really cares where you went to school--only if you passed the NCLEX, you may regret not going to a state school for 1/3 the price. Another option is to attend a diploma school or get an associate's degree. In two years you can work, have your employer pay all or a portion of your tuition as you finish a BSN completion program (usually takes a year to 18 months and you can do these easily online).
To address another comment, schools can't manipulate their NCLEX pass rates. What they can do is teach every class so students are familiar with NCLEX style questions and learn how to choose the right answer. When I graduated, my school had a 100% pass rate. It always was at 100% or close to it. We learned to think about the questions as if it were the NCLEX. That gave us an edge when we took the NCLEX, but it also forced us to think about prioritizing, patient safety, and reasonable interventions. We also knew our meds inside and out.
There are other factors to consider when choosing a nursing school. Attrition rate is very important. Schools can predict who is capable of passing and not. These predictors include previous grades, TEAS scores, the student's strengths in sciences, the ability to write coherently, as well as the recommendations they receive from former teachers or employers. When people grumble that they weren't accepted, my initial thought it, "aw, so unfortunate" or "that's so sad"; but really the school is doing that person a favor by not taking their money and giving them false hope. Nursing school is competitive and grueling; if it appears the applicant won't survive, it's worse to admit them and have them give up other opportunities when it's likely they will not make it through school or pass the NCLEX if they do graduate.