The other responders have it: forego the "networking" apps like LinkeIn. (It's really just a graph analysis tool for salespeople.). Do thinks with actual face-to-face connection. That's what will make you stand out.

If you are a new grad: go to alumni events. Go to alumni events! GO TO ALUMNI EVENTS.

If you are still in school: talk to your alumni and career office; they will be able to connect you better.

If you are in High School: consider a university with a co-op program.

The value of fact-to-face connection should not be underestimated.

Again: this may be uncomfortable for some people, but it is the way of the world.