Does anyone know schools that rank similar to those schools stated above, and that are pretty known in the world?
See for yourself, start at 39 and go up.
http://colleges.usnews.rankingsandreviews.com/best-colleges/rankings/national-universities?_mode=table
Are you looking for anything in particular? A subject, a city school, etc?
Northeastern. Babson, Pepperdine, Georgetown (a bit higher), Boston College, U of Texas, UMiami(a bit lower)